Zhi–qiang Wang

Zhi–qiang Wang's AcademicInfluence.com Rankings

Zhi–qiang Wang

Mathematics

#7301

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#9951

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Measure Theory

#2040

World Rank

#2473

Historical Rank

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Mathematics

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Zhi–qiang Wang'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

Existence and multiplicity results for some superlinear elliptic problems on RN (1995) (674)
On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions † (2001) (528)
Soliton solutions for quasilinear Schrödinger equations, II (2003) (450)
On the existence of soliton solutions to quasilinear Schrödinger equations (2002) (430)
Solutions for Quasilinear Schrödinger Equations via the Nehari Method (2004) (411)
Soliton solutions for quasilinear Schrödinger equations, I (2002) (386)
NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL (2001) (372)
Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations (2002) (315)
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system (2010) (260)
Bound states for a coupled Schrödinger system (2007) (234)
On a superlinear elliptic equation (1991) (228)
Standing waves with a critical frequency for nonlinear Schrödinger equations, II (2003) (218)
On the Ambrosetti-Rabinowitz Superlinear Condition (2004) (191)
Weighted Sobolev embedding with unbounded and decaying radial potentials (2007) (174)
Multiple Bound States of Nonlinear Schrödinger Systems (2008) (170)
Quasilinear elliptic equations via perturbation method (2012) (168)
Ground states of nonlinear Schrödinger equations with potentials (2006) (165)
On the existence of sign changing solutions for semilinear Dirichlet problems (1996) (150)
Ground States and Bound States of a Nonlinear Schrödinger System (2010) (145)
Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014) (141)
Multiple positive solutions for a nonlinear Schrödinger equation (2000) (138)
Quasilinear elliptic equations with critical growth via perturbation method (2013) (128)
Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems (2013) (127)
Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian (2014) (124)
Nonlinear boundary value problems with concave nonlinearities near the origin (2001) (122)
On the Morse indices of sign changing solutions of nonlinear elliptic problems (2000) (117)
The Dirichlet problem for superlinear elliptic equations (2005) (117)
Nonlinear schrodinger equations with unbounded and decaying radial potentials (2007) (111)
On the Hénon equation : asymptotic profile of ground states, I (2006) (102)
Multiple mixed states of nodal solutions for nonlinear Schrödinger systems (2015) (102)
Ljusternik-Schnirelman theory in partially ordered Hilbert spaces (2002) (90)
Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems (2000) (90)
Caffarelli-Kohn-Nirenberg inequalities with remainder terms (2003) (82)
Ground states for quasilinear Schrödinger equations with critical growth (2013) (81)
On Clark's theorem and its applications to partially sublinear problems (2015) (80)
On the existence of multiple, single-peaked solutions for a semilinear Neumann problem (1992) (80)
On the Hénon equation: Asymptotic profile of ground states, II (2005) (77)
Multiple normalized solutions for quasi-linear Schr\"odinger equations (2014) (77)
Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials (2015) (71)
Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method (2014) (69)
Existence of many positive solutions of semilinear elliptic equations on an annulus (1999) (68)
Schrödinger equations with concave and convex nonlinearities (2005) (65)
Multiple solitary wave solutions of nonlinear Schrödinger systems (2011) (62)
Positive solutions to a class of quasilinear elliptic equations on $\mathbb R$ (2003) (61)
EXISTENCE AND SYMMETRY OF MULTI-BUMP SOLUTIONS FOR NONLINEAR SCHRODINGER EQUATIONS (1999) (61)
Singular Minimization Problems (2000) (61)
Spherical semiclassical states of a critical frequency for Schrodinger equations with decaying potentials (2006) (58)
Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities (2004) (57)
Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations (2017) (55)
On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system (2013) (54)
Sobolev type embedding and quasilinear elliptic equations with radial potentials (2011) (51)
Nonlinear Elliptic Equations on Expanding Symmetric Domains (1999) (51)
Multiple solutions for quasilinear elliptic equations with a finite potential well (2014) (50)
On elliptic systems with Sobolev critical growth (2016) (50)
Sign changing solutions of nonlinear Schrödinger equations (1999) (48)
Construction of multi-peaked solutions for a nonlinear Neumann problem with critical exponent in symmetric domains (1996) (48)
Nodal type bound states of Schrödinger equations via invariant set and minimax methods (2005) (47)
Orbital stability of solitary waves for a nonlinear Schrödinger system (2011) (46)
High-energy and multi-peaked solutions for a nonlinear Neumann problem with critical exponents (1995) (44)
Hardy inequalities with boundary terms. (2003) (44)
Least Energy Solutions for Nonlinear Schrödinger Systems with Mixed Attractive and Repulsive Couplings (2015) (44)
On the Caffarelli–Kohn–Nirenberg inequalities (2000) (39)
Multiple solutions of superlinear elliptic equations (2007) (37)
Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth (2016) (36)
Partial symmetry of vector solutions for elliptic systems (2014) (35)
Multibump solutions for quasilinear elliptic equations (2012) (34)
Multiplicity results for a class of superlinear elliptic problems (2004) (34)
Convergence From Power-Law to Logarithm-Law in Nonlinear Scalar Field Equations (2018) (34)
Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system (2015) (31)
Schrödinger type equations with asymptotically linear nonlinearities (2003) (30)
Multiple positive solutions for Schrödinger systems with mixed couplings (2015) (29)
Bound states of nonlinear Schrödinger equations with magnetic fields (2011) (29)
Saddle solutions for the Choquard equation (2019) (28)
On bifurcation from infinity for potential operators (1991) (28)
Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in RN (2001) (27)
Multiplicity for symmetric indefinite functionals: applications to Hamiltonian and elliptic systems (1998) (27)
On coupled nonlinear Schrödinger systems with mixed couplings (2017) (26)
Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems (2016) (26)
Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities (2016) (25)
Solutions of elliptic problems with nonlinearities of linear growth (2009) (25)
An Efficient and Stable Method for Computing Multiple Saddle Points with Symmetries (2005) (24)
Multi-bump type nodal solutions having a prescribed number of nodal domains: I (2005) (24)
A Local Minimax-Newton Method for Finding Multiple Saddle Points with Symmetries (2004) (23)
Subharmonic oscillations with prescribed minimal period for a class of Hamiltonian systems (1997) (22)
Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system (2013) (22)
Standing waves for nonlinear Schrödinger equations with singular potentials (2009) (22)
Notes on the bifurcation theorem (2007) (21)
Localized nodal solutions for a critical nonlinear Schrödinger equation (2019) (20)
Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations (2011) (20)
SYMMETRY BREAKING OF EXTREMAL FUNCTIONS FOR THE CAFFARELLI– KOHN–NIRENBERG INEQUALITIES (2002) (19)
A twist condition and periodic solutions of Hamiltonian systems (2008) (18)
Existence of a positive solution of an elliptic equation on RN (2004) (18)
Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2015) (18)
Sign-changing solutions of nonlinear elliptic equations (2008) (17)
Existence and nonexistence of G–least energy solutions for a nonlinear Neumann problem with critical exponent in symmetric domains (1999) (17)
Symmetric solutions to a modified nonlinear Schrödinger equation (2007) (17)
On the least energy sign-changing solutions for a nonlinear elliptic system (2014) (17)
A multiplicity result for the generalized Kadomtsev-Petviashvili equation (1996) (16)
Bifurcations for quasilinear Schrödinger equations, I (2007) (15)
Multiple solutions of a parameter-dependent quasilinear elliptic equation (2016) (15)
Multibump solutions for discrete periodic nonlinear Schrödinger equations (2013) (15)
An infinite sequence of localized semiclassical bound states for nonlinear Dirac equations (2018) (14)
Periodic solutions of Hamiltonian systems with anisotropic growth (2010) (14)
Local and Global Dynamic Bifurcations of Nonlinear Evolution Equations (2016) (14)
Multibump solutions for quasilinear elliptic equations with critical growth (2013) (14)
Localized nodal solutions for quasilinear Schrödinger equations (2019) (14)
Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory (2006) (13)
Bifurcation results on positive solutions of an indefinite nonlinearelliptic system (2012) (13)
On The Existence Of Positive SOlutions For Semilinear Neumann Problems In Exterior Domains (1992) (13)
Symmetric solutions for the prescribed scalar curvature problem (2000) (13)
Stability of standing waves for a class of quasilinear Schrödinger equations (2012) (12)
Morse theory without (PS) condition at isolated values and strong resonance problems (2000) (12)
Saddle solutions for the Choquard equation II (2020) (12)
On a new index theory and non semi-trivial solutions for elliptic systems (2010) (11)
On a Brezis–Nirenberg type quasilinear problem (2017) (11)
Periodic solutions of even Hamiltonian systems on the torus (1997) (10)
A monotone property of the ground state energy to the scalar field equation and applications (2019) (9)
Existence and concentration of ground states for saturable nonlinear Schrödinger equations with intensity functions in R2 (2018) (9)
Bifurcation Results of Positive Solutions for an Indefinite Nonlinear Elliptic System II (2013) (9)
Quasilinear Equations via Elliptic Regularization Method (2013) (9)
Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in R2 (2017) (9)
Semiclassical states of nonlinear Dirac equations with degenerate potential (2019) (8)
Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems (2018) (8)
Erratum to “Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities” (2004) (8)
BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II (2008) (8)
Subharmonic solutions for second order Hamiltonian systems (1998) (8)
Bifurcations for a coupled Schrödinger system with multiple components (2014) (8)
Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities (2014) (8)
On the Fučik point spectrum for Schrödinger operators on $${\mathbb{R}}^{N}$$ (2009) (8)
Concentration of nodal solutions for logarithmic scalar field equations (2020) (7)
Gluing approximate solutions of minimum type on the Nehari manifold (2001) (7)
Ground States for Nonlinear Schrödinger Equations with a Sign-changing Potential Well (2015) (7)
Finding Multiple Solutions to Elliptic PDE with Nonlinear Boundary Conditions (2013) (7)
Nonradial solutions of nonlinear Neumann problems in radially symmetric domains (1996) (7)
Existence and Stability of Solitary Waves of An M-Coupled Nonlinear Schrödinger System (2016) (7)
Semi-classical states for logarithmic Schrödinger equations (2021) (7)
A New Augmented Singular Transform and its Partial Newton-Correction Method for Finding More Solutions (2017) (6)
Pattern formation via mixed interactions for coupled Schrödinger equations under Neumann boundary condition (2017) (6)
Formation of Radial Patterns via Mixed Attractive and Repulsive Interactions for Schrödinger Systems (2019) (6)
A Variant of Clark's Theorem and Its Applications for Nonsmooth Functionals without the Palais-Smale Condition (2017) (6)
Periodic Solutions of Spatially Periodic, Even Hamiltonian Systems☆ (1997) (6)
On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems (2000) (6)
Positive solutions of elliptic boundary value problems without the (P.S.) type assumption (2001) (6)
Ground states for quasilinear Schrödinger equations with critical growth (2012) (5)
DIRICHLET PROBLEM OF ELLIPTIC EQUATIONS WITH STRONG RESONANCES (2002) (5)
On the existence and qualitative properties of solutions for a nonlinear Neumann problem with critical exponent (1996) (5)
On the Fučik point spectrum for Schrödinger operators on R N (2009) (5)
Multiple Non Semi-Trivial Solutions for Elliptic Systems (2012) (4)
Normalized multi-bump solutions for saturable Schrödinger equations (2019) (4)
Exterior nonlinear Neumann problem (2007) (4)
A one-dimensional nonlinear degenerate elliptic equation (2001) (4)
On the Hénon equation with a Neumann boundary condition: Asymptotic profile of ground states (2018) (4)
Orbital stability of spatially synchronized solitary waves of an m-coupled nonlinear Schrödinger system (2016) (4)
Synchronization of positive solutions for coupled Schrödinger equations (2018) (3)
Nonlinear Elliptic systems with mixed couplings (2014) (3)
Existence and multiple solutions for a critical quasilinear equation with singular potentials (2015) (3)
Nonlinear Schrödinger systems with mixed interactions: locally minimal energy vector solutions (2021) (3)
Asymptotic uniqueness and exact symmetry of k-bump solutions for a class of degenerate elliptic problems (2001) (3)
Positive solutions of doubly coupled multicomponent nonlinear Schrödinger systems (2019) (3)
Sign-changing solutions for a parameter-dependent quasilinear equation (2021) (3)
Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems (2000) (3)
Limit behavior of mass critical Hartree minimization problems with steep potential wells (2018) (3)
Note on periodic solutions of relativistic pendulum type systems (2013) (2)
Uniqueness of positive solutions to some Schrödinger systems (2020) (2)
Multiplicity Results for Positive Solutions to Non-autonomous Elliptic Problems (1999) (2)
Limiting profile of solutions for Schrödinger equations with shrinking self-focusing core (2020) (2)
Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations (2020) (2)
How Hartree type nonlinearity takes effect on the properties for the solution of a quasilinear Schr\"{o}dinger equation (2018) (2)
Schrödinger systems with quadratic interactions (2019) (2)
A complete classification of ground-states for a coupled nonlinear Schrödinger system (2016) (2)
Existence results for a singular quasilinear elliptic equation (2017) (1)
MINIMAX METHOD, INVARIANT SETS, AND APPLICATIONS TO NODAL SOLUTIONS OF NONLINEAR ELLIPTIC PROBLEMS (2005) (1)
Partial differential equations. — Multiple solutions of superlinear elliptic equations , by (2007) (1)
Multiple positive solutions for coupled Schrödinger equations with perturbations (2021) (1)
Bifurcations for a coupled Schrödinger system with multiple components (2015) (1)
Sign-Changing Solutions to Equations of Elliptic Type (2010) (1)
Existence theory for quasilinear elliptic equations via a regularization approach (2017) (1)
Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions (2022) (1)
Parameter-dependent multiplicity results of sign-changing solutions for quasilinear elliptic equations (2022) (1)
Semiclassical states for nonlinear Dirac equations with singular potentials (2021) (1)
ELLIPTIC SYSTEMS ON ℝNWITH NONLINEARITIES OF LINEAR GROWTH (2010) (1)
On a class of anisotropic nonlinear elliptic equations in $\mathbb R^N$ (2007) (1)
Existence and stability of standing waves for coupled derivative Schrödinger equations (2015) (1)
Standing wave solutions with a critical frequency for nonlinear Schrödinger equations (2003) (1)
On the Existence of Sign Changing Solutionsfor Semilinear Dirichlet (1996) (0)
Multiple positive solutions for Schrödinger systems with mixed couplings (2015) (0)
Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems (2012) (0)
Diagonals of Green’s functions and applications (2015) (0)
Global existence, blowup phenomena, and asymptotic behavior for quasilinear Schr\"{o}dinger equations (2018) (0)
On the existence of soliton solutions toquasilinear (2007) (0)
On elliptic systems with Sobolev critical growth (2016) (0)
Localization of normalized solutions for saturable nonlinear Schrödinger equations (2023) (0)
Symmetry and weighted Sobolev inequalities (2003) (0)
Multiple mixed states of nodal solutions for nonlinear Schrödinger systems (2014) (0)
Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations (2021) (0)
Large Local and Global Dynamic Bifurcations of Nonlinear Evolution Equations (2018) (0)
Partial symmetry of vector solutions for elliptic systems (2014) (0)
Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach (2023) (0)
Classification of Ground-states of a coupled Schrödinger system (2021) (0)
Convergence From Power-Law to Logarithm-Law in Nonlinear Scalar Field Equations (2018) (0)
Existence results for a singular quasilinear elliptic equation (2016) (0)
Non-radial normalized solutions for a nonlinear Schrodinger equation (2023) (0)
A quasilinear Schrödinger equation with Hartree type nonlinearity (2018) (0)
Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations (2016) (0)
FLA POSITIVE BOUND STATES HAVING PRESCRIBED SYMMETRY FOR A CLASS OF NONLINEAR ELLIPTIC EQUATIONS IN R N (2001) (0)
On the Fučik point spectrum for Schrödinger operators on [FORMULA] (2009) (0)
Sign-changing solutions for Schrödinger system with critical growth (2021) (0)
Sign-changing solutions for coupled Schrödinger equations with mixed coupling (2020) (0)
Equilibrium Index of Invariant Sets and Global Static Bifurcation for Nonlinear Evolution Equations (2019) (0)
Semiclassical states of nonlinear Dirac equations with degenerate potential (2019) (0)
Multibump solutions for discrete periodic nonlinear Schrödinger equations (2012) (0)
Periodic solutions of even Hamiltonian systems onthe (2007) (0)
ORBITAL STABILITY OF SPATIALLY SYNCHRONIZED SOLITARY WAVES OF SCHRÖDINGER SYSTEM WITH POWER-TYPE NONLINEARITIES (2017) (0)
Finding Multiple Solutions to Elliptic PDE with Nonlinear Boundary Conditions (2013) (0)
Pattern formation via mixed interactions for coupled Schrödinger equations under Neumann boundary condition (2016) (0)
Limiting profile of solutions for Schrödinger equations with shrinking self-focusing core (2020) (0)
On a Brezis–Nirenberg type quasilinear problem (2016) (0)
Mathematical Physics Multiple Bound States of Nonlinear Schrödinger Systems (2008) (0)
Even Hamiltonian systems on tori and cotangent spaces of tori (1997) (0)
Multiple solutions of a parameter-dependent quasilinear elliptic equation (2016) (0)
Classification of Ground-states of a coupled Schrödinger system (2021) (0)
Localized nodal solutions for semiclassical nonlinear Schroedinger equations (2016) (0)
Multiple Periodic Solutions of a Class of Fractional Laplacian Equations (2020) (0)
Saddle solutions for the Choquard equation (2019) (0)
An infinite sequence of localized semiclassical bound states for nonlinear Dirac equations (2018) (0)
The least energy positive solution for the nonlinear elliptic three-systems with attractive and repulsive interaction terms (Geometry of solutions of partial differential equations) (2014) (0)
Existence and multiple solutions for a critical quasilinear equation with singular potentials (2014) (0)

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Published Works

Zhi–qiang Wang's AcademicInfluence.com Rankings