Zhi–qiang Wang
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Mathematics
Why Is Zhi–qiang Wang Influential?
(Suggest an Edit or Addition)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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