Juncheng Wei | Academic Influence

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Juncheng Wei

Mathematics

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Algebraic Geometry

#103

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#110

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Measure Theory

#578

World Rank

#807

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Mathematics

Juncheng Wei's Degrees

PhD Mathematics Peking University
Bachelors Mathematics Peking University

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Why Is Juncheng Wei Influential?

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According to Wikipedia, Juncheng Wei is a Chinese mathematician working in the area of nonlinear partial differential equations, nonlinear analysis and mathematical biology. Since 1994, he has over 470 published articles in top journals, including Annals of Mathematics, Inventiones Mathematicae, Communications on Pure and Applied Mathematics, and Duke Mathematical Journal.

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Juncheng Wei's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Ground State of N Coupled Nonlinear Schrödinger Equations in Rn,n≤3 (2005) (483)
Classification of solutions of higher order conformally invariant equations (1999) (367)
On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems (1995) (318)
On De Giorgi's conjecture in dimension N>9 (2011) (261)
Multiple interior peak solutions for some singularly perturbed neumann problems (1999) (256)
Concentrating standing waves for the fractional nonlinear Schr\"odinger equation (2013) (251)
The stability of spike solutions to the one-dimensional Gierer—Meinhardt model (2001) (236)
Bound states for a coupled Schrödinger system (2007) (234)
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system (2010) (231)
Spikes in two coupled nonlinear Schrödinger equations (2005) (218)
Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations (2008) (216)
Multiple boundary peak solutions for some singularly perturbed Neumann problems (2000) (212)
Strongly interacting bumps for the Schrödinger–Newton equations (2009) (187)
Concentration on curves for nonlinear Schrödinger Equations (2007) (184)
On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates (1999) (178)
On interacting bumps of semi-classical states of nonlinear Schrödinger equations (2000) (168)
On the Boundary Spike Layer Solutions to a Singularly Perturbed Neumann Problem (1997) (163)
On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems (2000) (156)
On Bound States Concentrating on Spheres for the Maxwell-Schrödinger Equation (2005) (155)
On the Construction of Single-Peaked Solutions to a Singularly Perturbed Semilinear Dirichlet Problem (1996) (151)
Stationary solutions for the Cahn-Hilliard equation (1998) (147)
Infinitely many solutions for the prescribed scalar curvature problem on SN (2010) (140)
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations (2011) (135)
Spikes in Two-component Systems of Nonlinear Schrodinger Equations with Trapping Potentials (2006) (135)
On a two-dimensional elliptic problem with large exponent in nonlinearity (1994) (130)
On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems (1999) (128)
Hopf Bifurcations and Oscillatory Instabilities of Spike Solutions for the One-Dimensional Gierer-Meinhardt Model (2003) (127)
Convergence for a Liouville equation (2001) (124)
On the Multiplicity of Solutions of Two Nonlocal Variational Problems (2000) (122)
Spikes for the Two-Dimensional Gierer-Meinhardt System: The Weak Coupling Case (2001) (121)
Nonradial symmetric bound states for a system of coupled Schrödinger equations (2007) (121)
On the number of interior peak solutions for a singularly perturbed Neumann problem (2007) (115)
Infinitely many positive solutions for the nonlinear Schrödinger equations in $${\mathbb{R}^N}$$ (2010) (103)
Stability analysis of Turing patterns generated by the Schnakenberg model (2004) (101)
A Monotonicity Formula and a Liouville-type Theorem for a Fourth Order Supercritical Problem (2013) (99)
MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2 (2010) (98)
Mathematical Aspects of Pattern Formation in Biological Systems (2013) (96)
Asymptotic behaviour of solutions of planar elliptic systems with strong competition (2008) (96)
The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime (2005) (95)
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory (2000) (94)
Classification and nondegeneracy of SU(n+1) Toda system with singular sources (2011) (91)
On positive solutions concentrating on spheres for the Gierer–Meinhardt system (2006) (87)
Chapter 6 Existence and stability of spikes for the Gierer-Meinhardt system (2008) (87)
Spikes for the Gierer-Meinhardt system in two dimensions: The strong coupling case (2002) (87)
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. (2009) (86)
On Conformal Deformations of Metrics onSn (1998) (85)
Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials (2007) (85)
On energy minimizers of the diblock copolymer problem (2003) (84)
Spot Self-Replication and Dynamics for the Schnakenburg Model in a Two-Dimensional Domain (2009) (84)
The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model (2002) (82)
Multi‐Peak Solutions for a Wide Class of Singular Perturbation Problems (1999) (82)
Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction (2008) (80)
Mesa-type patterns in the one-dimensional Brusselator and their stability (2005) (80)
Stationary multiple spots for reaction–diffusion systems (2008) (80)
Asymptotic behavior of a nonlinear fourth order eigenvalue problem (1996) (79)
On the interior spike layer solutions to a singularly perturbed Neumann problem (1998) (78)
On the two-dimensional Gierer-Meinhardt system with strong coupling (1999) (77)
Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability (2002) (75)
Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem (2005) (75)
On the fractional Lane-Emden equation (2014) (73)
Singularity formation for the two-dimensional harmonic map flow into $$S^2$$ (2017) (72)
The Toda System and Clustering Interfaces in the Allen–Cahn equation (2008) (71)
Ground State of N Coupled Nonlinear Schrodinger Equations in $${\mathbb{R}}^n, n \leq 3$$ (2007) (71)
Stationary States of Nonlinear Dirac Equations with General Potentials (2008) (69)
Multiple clustered layer solutions for semilinear Neumann problems on a ball (2005) (69)
Infinitely many positive solutions for the nonlinear Shcrodinger equations in $R^N$ (2008) (68)
On Phase-Separation Models: Asymptotics and Qualitative Properties (2013) (67)
The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime (2005) (66)
Hopf bifurcation of spike solutions for the shadow Gierer–Meinhardt model (2003) (66)
On Entire Solutions of an Elliptic System Modeling Phase Separations (2012) (65)
Properties of positive solutions of an Elliptic Equation with negative exponents (2007) (65)
MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY (2007) (64)
The toda system and multiple-end solutions of autonomous planar elliptic problems (2007) (64)
Nonlocal $s$-minimal surfaces and Lawson cones (2014) (64)
Spherical Solutions to a Nonlocal Free Boundary Problem from Diblock Copolymer Morphology (2008) (64)
Self-similar solutions for the anisotropic affine curve shortening problem (2001) (63)
Interface Foliation near Minimal Submanifolds in Riemannian Manifolds with Positive Ricci Curvature (2010) (63)
On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions (1998) (63)
On the role of distance function in some singular perturbation problems (2000) (62)
A P ] 2 5 A pr 2 00 8 INFINITELY MANY SOLUTIONS FOR THE PRESCRIBED SCALAR CURVATURE PROBLEM ON S N (2008) (61)
The Stability of a Stripe for the Gierer-Meinhardt Model and the Effect of Saturation (2006) (61)
Single-point condensation and least-energy solutions (1996) (61)
On the Spectra of Three-Dimensional Lamellar Solutions of the Diblock Copolymer Problem (2003) (61)
Regularization of Point Vortices Pairs for the Euler Equation in Dimension Two (2012) (60)
Concentrically layered energy equilibria of the di-block copolymer problem (2002) (60)
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity Part I: N=3 (2004) (60)
On a Fourth Order Nonlinear Elliptic Equation with Negative Exponent (2009) (60)
The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime (2012) (58)
Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities (2021) (58)
Existence and stability of multiple-spot solutions for the Gray–Scott model in R2 (2003) (57)
Existence, Classification and Stability Analysis of Multiple-peaked Solutions for the Gierer-Meinhardt System in R 1 (2007) (57)
On the effect of domain geometry on the existence of nodal solutions in singular perturbations problems (1997) (57)
Sign-changing blowing-up solutions for supercritical Bahri–Coron’s problem (2015) (57)
Classification of blowup limits for SU(3) singular Toda systems (2013) (55)
Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem (2005) (55)
Infinitely many solutions for the Schrödinger equations in RN with critical growth (2012) (54)
Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation. (2012) (53)
Collapsing steady states of the Keller–Segel system (2006) (52)
Liouville theorems for stable solutions of biharmonic problem (2013) (52)
Single Droplet Pattern in the Cylindrical Phase of Diblock Copolymer Morphology (2007) (51)
A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture (2010) (51)
Multi-peak solutions for some singular perturbation problems (2000) (50)
Delaunay-type singular solutions for the fractional Yamabe problem (2015) (49)
The Existence and Stability of Spike Patterns in a Chemotaxis Model (2005) (49)
Concentrating solutions for the Hénon equation in ℝ2 (2006) (49)
Gluing Methods for Vortex Dynamics in Euler Flows (2018) (48)
Supercritical elliptic problems in domains with small holes (2007) (48)
Infinitely many turning points for an elliptic problem with a singular non‐linearity (2008) (48)
Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones (2011) (48)
Asymptotic shape and location of small cores in elliptic free-boundary problems (1998) (48)
Bubbling solutions for an anisotropic Emden–Fowler equation (2006) (47)
Asymmetric Spotty Patterns for the Gray–Scott Model in R2 (2003) (47)
Fast and slow decay solutions for supercritical elliptic problems in exterior domains (2008) (47)
Infinitely many positive solutions for nonlinear equations with non-symmetric potentials (2012) (45)
Steady State Solutions of a Reaction‐Diffusion System Modeling Chemotaxis (2002) (45)
Existence, stability and metastability of point condensation patterns generated by the Gray-Scott system (1999) (44)
Infinite-time blow-up for the 3-dimensional energy-critical heat equation (2017) (44)
Triblock copolymer theory: free energy, disordered phase and weak segregation (2003) (44)
On finite Morse index solutions of higher order fractional Lane-Emden equations (2014) (44)
Nonradial solutions for conformally invariant fourth order equation in $\R4$ (2007) (43)
Multi-bump ground states of the Gierer–Meinhardt system in R2 (2003) (42)
Triblock Copolymer Theory: Ordered ABC Lamellar Phase (2003) (42)
Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations (2006) (42)
Hausdorff Dimension of Ruptures for Solutions of a Semilinear Elliptic Equation with Singular Nonlinearity (2006) (42)
Infinitely many positive solutions for an elliptic problem with critical or supercritical growth (2011) (42)
Traveling wave solutions of the Schrödinger map equation (2010) (41)
Finite Morse Index Implies Finite Ends (2017) (41)
On the effect of domain topology in a singular perturbation problem (1998) (40)
Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates (2016) (40)
Qualitative properties of entire radial solutions for a biharmonic equation with supercritical nonlinearity (2010) (39)
Existence theorems of the fractional Yamabe problem (2016) (39)
Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity (2005) (39)
Non-simple blow-up solutions for the Neumann two-dimensional sinh-Gordon equation (2009) (38)
On a Sobolev inequality with remainder terms (1999) (38)
Multiplicity of multiple interior peak solutions for some singularly perturbed Neumann problems (1998) (38)
Serrin’s overdetermined problem and constant mean curvature surfaces (2013) (38)
COUNTING PEAKS OF SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS WITH LARGE EXPONENTS (1995) (37)
On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem (1997) (37)
Oval Shaped Droplet Solutions in the Saturation Process of Some Pattern Formation Problems (2009) (37)
Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials (2015) (37)
On the interior spike solutions for some singular perturbation problems (1998) (37)
On ground state of spinor Bose–Einstein condensates (2011) (37)
Uniqueness and critical spectrum of boundary spike solutions (2001) (37)
An optimal bound on the number of interior spike solutions for Lin-Ni-Takagi problem (2012) (36)
A counterexample to a conjecture by De Giorgi in large dimensions (2008) (36)
On higher-dimensional singularities for the fractional Yamabe problem: A nonlocal Mazzeo–Pacard program (2018) (35)
Type II Blow-up in the 5-dimensional Energy Critical Heat Equation (2018) (35)
Infinitely many nonradial solutions for the Hénon equation with critical growth (2013) (34)
Multi-bump solutions of -Δn = K(x)u (n+2)/(n-2) on lattices in ℝ n (2018) (34)
Self-replication of mesa patterns in reaction-diffusion systems (2007) (34)
Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model (2013) (34)
On the Location of Spikes of Solutions with Two Sharp Layers for a Singularly Perturbed Semilinear Dirichlet Problem (1999) (34)
Nonradial solutions for a conformally invariant fourth order equation in $$\mathbb {R}^4$$ (2008) (34)
Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition (2007) (34)
Existence and Stability of Spherically Layered Solutions of the Diblock Copolymer Equation (2006) (33)
Standing waves for supercritical nonlinear Schrödinger equations (2007) (33)
Ground states of nonlinear Schrödinger systems with mixed couplings (2019) (33)
Homoclinic Solutions for Fourth Order Traveling Wave Equations (2009) (33)
Global solution branch and Morse index estimates of a semilinear elliptic equation with super-critical exponent (2011) (33)
Sharp estimates for fully bubbling solutions of a SU(3) Toda system (2012) (32)
Locating the peaks of solutions via the maximum principle II: A local version of the method of moving planes (2003) (32)
Prescribing Q-curvature problem on Sn (2009) (32)
Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation (2013) (32)
Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in R3 (2014) (32)
INFINITELY MANY SOLUTIONS FOR THE PRESCRIBED SCALAR CURVATURE PROBLEM ON (2008) (32)
On the Stationary Cahn-Hilliard Equation: Interior Spike Solutions (1998) (32)
On the Gierer-Meinhardt system with precursors (2009) (32)
Ground states of two-component attractive Bose–Einstein condensates I: Existence and uniqueness (2017) (32)
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. Part II: N⩾4☆ (2005) (31)
Schrödinger–Poisson systems in the 3-sphere (2013) (31)
On stable solutions of the fractional Henon-Lane-Emden equation (2014) (31)
Concentration on lines for a singularly perturbed Neumann problem in two-dimensional domains (2007) (31)
Asymptotic behavior of touch-down solutions and global bifurcations for an elliptic problem with a singular nonlinearity (2008) (31)
Existence and stability analysis of asymmetric patterns for the Gierer-Meinhardt system (2004) (31)
Boundary interface for the Allen–Cahn equation (2007) (30)
Droplet solutions in the diblock copolymer problem with skewed monomer composition (2006) (30)
Symmetry of non-negative solutions of a semilinear elliptic equation with singular nonlinearity (2007) (30)
On MEMS equation with fringing field (2009) (30)
Global minimizers of the Allen-Cahn equation in dimension $n\geq 8$ (2016) (29)
Nondegeneracy of Nodal Solutions to the Critical Yamabe Problem (2015) (29)
On Non-Topological Solutions of the A2 and B2 Chern-Simons System (2016) (29)
Regularization of point vortices for the Euler equation in dimension two, part II (2012) (29)
Stability of spot and ring solutions of the diblock copolymer equation (2004) (29)
On Lin–Ni's conjecture in convex domains (2011) (28)
On a nonlocal eigenvalue problem (2001) (28)
Arbitrary many boundary peak solutions for an elliptic Neumann problem with critical growth (2007) (27)
Stability and multiple solutions to Einstein-scalar field Lichnerowicz equation on manifolds (2013) (27)
Boundary-clustered interfaces for the Allen–Cahn equation (2007) (27)
Geometry driven type II higher dimensional blow-up for the critical heat equation (2017) (26)
2π-periodic self-similar solutions for the anisotropic affine curve shortening problem (2011) (26)
Liouville type results and regularity of the extremal solutions of biharmonic equation with negative exponents (2013) (26)
On nondegeneracy of solutions to SU(3) Toda system (2011) (26)
Lazer–McKenna conjecture: The critical case (2007) (26)
Solutions with multiple catenoidal ends to the Allen–Cahn equation in R3 (2015) (26)
Ground states of two-component attractive Bose-Einstein condensates II: Semi-trivial limit behavior (2017) (26)
Resonance and Interior Layers in an Inhomogeneous Phase Transition Model (2007) (26)
On ring-like solutions for the Gray–Scott model: existence, instability and self-replicating rings (2005) (26)
On the Cauchy problem for a reaction–diffusion equation with a singular nonlinearity (2007) (25)
Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger equations (2006) (25)
On the uniqueness of solutions of a nonlocal elliptic system (2014) (25)
Pulse‐Splitting for Some Reaction‐Diffusion Systems in One‐Space Dimension (2005) (25)
Sharp estimates for bubbling solutions of a fourth order mean field equation (2007) (25)
Uniqueness and a priori estimates for some nonlinear elliptic Neumann equations in ℝ3 (2005) (25)
Resonant states for the static Klein–Gordon–Maxwell–Proca system (2012) (24)
Clustered spots in the FitzHugh–Nagumo system (2005) (24)
Flow-distributed spikes for Schnakenberg kinetics (2012) (24)
Transition layer for the heterogeneous Allen–Cahn equation (2007) (24)
On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups (1997) (24)
Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions (2002) (24)
Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field (2002) (24)
Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in $\Bbb R^3$ (2008) (24)
On a stronger Lazer-Mckenna conjecture for Ambrosetti-Prodi type problems (2010) (23)
A Double Bubble in a Ternary System with Inhibitory Long Range Interaction (2013) (23)
The existence and stability of spike equilibria in the one-dimensional Gray-Scott model on a finite domain (2005) (23)
A non-compactness result on the fractional Yamabe problem in large dimensions (2015) (23)
Stable spike clusters for the one-dimensional Gierer–Meinhardt system (2016) (23)
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation (2020) (23)
The Lin-Ni's Problem for Mean Convex Domains (2011) (23)
Degree counting and shadow system for $SU(3)$ Toda system: one bubbling (2014) (23)
On the stationary Cahn-Hilliard equation bubble solutions (1998) (22)
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates (2016) (22)
On Ambrosetti–Malchiodi–Ni Conjecture for General Hypersurfaces (2011) (22)
Stability of Spiky Solutions in a Competition Model with Cross-Diffusion (2011) (22)
Non-compactness of the prescribed Q-curvature problem in large dimensions (2009) (22)
End-to-end construction for the Allen–Cahn equation in the plane (2015) (22)
On spikes concentrating on line-segments to a semilinear Neumann problem (2011) (22)
Critical Threshold and Stability of Cluster Solutions for Large Reaction-Diffusion Systems in R1 (2002) (22)
Travelling helices and the vortex filament conjecture in the incompressible Euler equations (2020) (21)
Singular radial entire solutions and weak solutions with prescribed singular set for a biharmonic equation (2017) (21)
The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model (2018) (21)
Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate (2018) (21)
Non-radial singular solutions of Lane-Emden equations in $R^N$ (2012) (21)
Existence and concentration of semi-classical solutions for a nonlinear Maxwell-Dirac system (2013) (21)
A toroidal tube solution to a problem involving mean curvature and Newtonian potential (2011) (20)
Sign-changing solutions for supercritical elliptic problems in domains with small holes (2007) (20)
New blow-up phenomena for SU(n+1) Toda system (2014) (20)
On singular perturbation problems with robin boundary condition (2003) (20)
A critical elliptic problem for polyharmonic operators (2011) (20)
Spikes for the Two-dimensional Gierer-meinhardt System: the Strong Coupling Case (2007) (20)
A Double Bubble Assembly as a New Phase of a Ternary Inhibitory System (2015) (19)
Nonhexagonal Lattices From a Two Species Interacting System (2019) (19)
On nonlinear Schrödinger equations with totally degenerate potentials (1998) (19)
Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions. (2007) (19)
Uniqueness And Eigenvalue Estimates Of Boundary Spike Solutions (1998) (19)
Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two (2019) (19)
On the number of nodal solutions to a singularly perturbed Neumann problem (2005) (19)
Spikes for the Gierer–Meinhardt System with Discontinuous Diffusion Coefficients (2009) (19)
Classification of blow-up limits for the sinh-Gordon equation (2016) (19)
On least Energy Solutions to A Semilinear Elliptic Equation in A Strip (2010) (19)
Nucleation in the FitzHugh–Nagumo system: Interface–spike solutions (2005) (19)
On De Giorgi’s conjecture: Recent progress and open problems (2018) (18)
Asymptotic behavior of SU(3) Toda system in a bounded domain (2012) (18)
Triple Junction Solutions for a Singularly Perturbed Neumann Problem (2011) (18)
Conditions for two-peaked solutions of singularly perturbed elliptic equations (1998) (18)
Estimates for Liouville equation with quantized singularities (2019) (18)
Higher-dimensional catenoid, Liouville equation, and Allen-Cahn equation (2016) (18)
Analysis of boundary bubbling solutions for an anisotropic Emden–Fowler equation (2008) (18)
Degree counting and Shadow system for Toda system of rank two: One bubbling (2017) (17)
A gluing approach for the fractional Yamabe problem with isolated singularities (2016) (17)
Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model (2006) (17)
On Delaunay solutions of a biharmonic elliptic equation with critical exponent (2017) (17)
Stationary solutions to a Keller-Segel chemotaxis system (2006) (17)
Existence and stability of infinite time bubble towers in the energy critical heat equation (2019) (17)
Existence of positive weak solutions for fractional Lane–Emden equations with prescribed singular sets (2018) (17)
On De Giorgi Conjecture in Dimension $N \geq 9$ (2008) (17)
Numerical Challenges for Resolving Spike Dynamics for Two One‐Dimensional Reaction‐Diffusion Systems (2003) (17)
Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball (2005) (17)
Singular Limits of a Two-Dimensional Boundary Value Problem Arising in Corrosion Modelling (2006) (16)
On the location of spikes and profile of nodalsolutions for a singularly perturbed neumann problem (1998) (16)
Double tori solution to an equation of mean curvature and Newtonian potential (2014) (16)
ON THE CLASSIFICATION OF STABLE SOLUTIONS TO BIHARMONIC PROBLEMS IN LARGE DIMENSIONS (2013) (16)
Solutions without any symmetry for semilinear elliptic problems (2014) (16)
Basic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth (2014) (16)
Clustered solutions around harmonic centers to a coupled elliptic system (2007) (16)
Existence and stability analysis of spiky solutions for the Gierer–Meinhardt system with large reaction rates (2009) (16)
On De Giorgi’s conjecture and beyond (2012) (16)
On the Topological degree of the Mean field equation with two parameters (2016) (16)
Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical exponent (1998) (15)
A pointwise inequality for the fourth-order Lane–Emden equation (2013) (15)
Bubble accumulations in an elliptic Neumann problem with critical Sobolev exponent (2007) (15)
Infinite time blow-up for the fractional heat equation with critical exponent (2018) (15)
Vortex rings for the Gross–Pitaevskii equation in R3 (2013) (15)
On a sharp Moser–Aubin–Onofri inequality for functions on S2 with symmetry (2000) (15)
Nonlocal Minimal Lawson Cones (2013) (15)
Toda system and interior clustering line concentration for a singularly perturbed Neumann problem in two dimensional domain (2008) (15)
Point Ruptures for a MEMS Equation with Fringing Field (2012) (14)
Blowup and solitary wave solutions with ring profiles of two-component nonlinear Schrödinger systems (2010) (14)
A bifurcation diagram of solutions to an elliptic equation with exponential nonlinearity in higher dimensions (2017) (14)
Infinite time blow-up for half-harmonic map flow from R into S1 (2021) (14)
Non-radial clustered spike solutions for semilinear elliptic problems on sN (2007) (14)
Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank (2017) (14)
On a two-dimensional reaction-diffusion system with hypercyclical structure (2000) (14)
THE JACOBI-TODA SYSTEM AND FOLIATED INTERFACES (2010) (14)
Traveling vortex helices for Schrödinger map equations (2015) (14)
On Non-topological Solutions of the ${\bf G}_2$ Chern-Simons System (2014) (14)
On the triharmonic Lane-Emden equation (2016) (14)
Layered solutions for a semilinear elliptic system in a ball (2006) (14)
Traveling wave solutions for bistable fractional Allen-Cahn equations with a pyramidal front (2016) (13)
The Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green's function (2010) (13)
On large ring solutions for Gierer–Meinhardt system in R3 (2013) (13)
On variational characterization of four-end solutions of the Allen–Cahn equation in the plane (2016) (13)
The soliton-stripe pattern in the Seul–Andelman membrane☆ (2004) (13)
Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem (2014) (13)
Solutions to the Allen Cahn Equation and Minimal Surfaces (2011) (13)
On a nonlocal Eigenvalue Problem and its Applications to Point-condensations in reaction-Diffusion Systems (2000) (13)
Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction–Diffusion Systems in $${\mathbb {R}}^2$$R2 (2013) (13)
Toda system and cluster phase transition layers in an inhomogeneous phase transition model (2010) (13)
Vortex Ring Pinning for the Gross-Pitaevskii Equation in Three-Dimensional Space (2012) (12)
On Phase-Separation Models: Asymptotics and Qualitative Properties (2012) (12)
TYPE II FINITE TIME BLOW-UP FOR THE ENERGY CRITICAL HEAT EQUATION IN R (2019) (12)
On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling (2004) (12)
Nonradial Solutions to Critical Elliptic Equations of Caffarelli–Kohn–Nirenberg Type (2012) (12)
Vortex Solutions of the High-κ High-Field Ginzburg-Landau Model with an Applied Current (2010) (12)
Type II Finite time blow-up for the three dimensional energy critical heat equation (2020) (12)
Stability of cluster solutions in a cooperative consumer chain model (2014) (12)
Nonlinear Schrödinger equations : concentration on weighted geodesics in the semi-classical limit (2005) (12)
On the equation $$\Delta u + K\left( x \right)u^{\frac{{n + 2}}{{n - 2}} \pm \varepsilon ^2 } = 0$$ inRninRn (1995) (12)
Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks (2000) (12)
On the effect of domain geometry in singular perturbation problems (2000) (12)
On the Brezis-Nirenberg problem on S3, and a conjecture of Bandle-Benguria (2005) (11)
Exact multiplicity for some nonlinear elliptic equations in balls (1997) (11)
Asymmetric and Symmetric Double Bubbles in a Ternary Inhibitory System (2014) (11)
Positive clustered layered solutions for the Gierer–Meinhardt system (2008) (11)
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Counting Peaks of Solutions to Some QuasilinearElliptic Equations with Large ExponentsXiaofeng RenSchool of Mathematics (1995) (0)
Entire solutions of the magnetic Ginzburg-Landau equation in $\mathbb{R}^4$ (2021) (0)
Orbital stability of bound states of nonlinear Schrödinger equations with linear and nonlinear lattices (2008) (0)
VORTEX RINGS PINNING FOR THE GROSS-PITAEVSKII EQUATION IN THREE DIMENSIONAL SPACE (2011) (0)
DCDS-A Special Volume Qualitative properties of solutions of nonlinear elliptic equations and systems.Preface (2013) (0)
AARMS SUMMER SCHOOL–LECTURE VII: INTRODUCTION TO INFINITE DIMENSIONAL REDUCTION METHODS FOR SOLVING PDE’S (2015) (0)
A Double Bubble Assembly as a New Phase of a Ternary Inhibitory System (2014) (0)
On the regular part of the Bloch Green’s function for the Laplacian: analytical formula and critical points (2021) (0)
Estimates of bubbling sequences of SU(3)$SU(3)$ Toda systems at critical parameters: Part 2 (2023) (0)
BOUNDARY LAYER SOLUTIONS IN THE GIERER-MEINHARDT SYSTEM WITH MIXED INHOMOGENEOUS BOUNDARY CONDITIONS (2021) (0)
Other Aspects of the Gierer-Meinhardt System (2014) (0)
Non-degeneracy and uniqueness of positive blow-up solutions to the Lane-Emden problem ∗ (2022) (0)
Existence and Stability of Spikes for the Gierer-Meinhardt System in Two Dimensions (2014) (0)
Boundary layer solutions in the Gierer–Meinhardt system with inhomogeneous boundary conditions (2021) (0)
Spike Solutions to the Supercritical Fractional Gierer-Meinhardt System (2023) (0)
On a Ginzburg-landau Equation Coupled with a Mean Field: the Finite Domain Case (2007) (0)
MULTI-BUMP GROUND STATES OF THE GIERER-MEINHARDT SYSTEM INR 2 FONDAMENTALES MULTI-PICS DU SYSTÈME DE GIERER-MEINHARDT DANSR 2 (2003) (0)
ON LIN-NI’S CONJECTURE IN GENERAL DOMAIN, N=4, 6 (2015) (0)
A P ] 2 7 Ju l 2 01 9 HALF-SPACE THEOREMS FOR THE ALLEN-CAHN EQUATION AND RELATED PROBLEMS (0)
SIGN-CHANGING BLOW-UP SOLUTIONS FOR YAMABE PROBLEM (2017) (0)
Asymptotic behavior of energy solutions to a two-dimensional semilinear problem with mixed boundary condition (1995) (0)
Self-similar and solitary wave solutions with ring profiles of two-component nonlinear Schrödinger systems (2009) (0)
A Double Bubble in a Ternary System with Inhibitory Long Range Interaction (2012) (0)
Infinite time blow-up for the fractional heat equation with critical exponent (2018) (0)
ON A CONJECTURE OF WOLANSKYGuofang (1999) (0)
Asymptotics for positive singular solutions to subcritical sixth order equations (2022) (0)
Schrödinger–Poisson systems in the 3-sphere (2012) (0)
A P ] 2 8 Fe b 20 18 GLUING METHODS FOR VORTEX (2018) (0)
FRACTIONAL GIERER-MEINHARDT SYSTEM (2020) (0)
Compactness of singular solutions to the sixth order GJMS equation (2023) (0)
STABILITY OF CLUSTER SOLUTIONS IN A TRITROPHIC FOOD CHAIN MODEL (2011) (0)
Existence of Spikes for the Shadow Gierer-Meinhardt System (2014) (0)
Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schr\"odinger equations (2015) (0)

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