Quasilinear elliptic equations with critical growth via perturbation method
From MaRDI portal
Publication:1759794
DOI10.1016/j.jde.2012.09.006zbMath1266.35086OpenAlexW1965492235MaRDI QIDQ1759794
Zhi-Qiang Wang, Xiang-Qing Liu, Jia Quan Liu
Publication date: 22 November 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.09.006
Related Items (only showing first 100 items - show all)
Quasilinear Choquard equations involving N‐Laplacian and critical exponential nonlinearity ⋮ \(p\)-Kirchhoff modified Schrödinger equation with critical nonlinearity in \(\mathbb{R}^N\) ⋮ Nonexistence and existence of positive ground state solutions for generalized quasilinear Schrödinger equations ⋮ Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in \(\mathbb{R}^N\) ⋮ Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity ⋮ Existence of solution for quasilinear Schrödinger equations using a linking structure ⋮ Ground state solutions for a quasilinear Schrödinger equation ⋮ Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in \(\mathbb{R}^N \) ⋮ Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials ⋮ Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials ⋮ Multiple solutions for critical quasilinear elliptic equations ⋮ On a quasilinear Schrödinger problem at resonance ⋮ Ground state solutions for quasilinear Schrödinger equations with critical growth and lower power subcritical perturbation ⋮ Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ Sign-changing solutions for a modified nonlinear Schrödinger equation in \(\mathbb{R}^N\) ⋮ Quasilinear Schrödinger equations involving singular potentials ⋮ Infinitely many solutions for quasilinear systems with critical exponent ⋮ Soliton solutions for a quasilinear Schrödinger equation with critical exponent ⋮ Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents ⋮ Infinitely many sign-changing solutions to some quasilinear equation involving exponential term ⋮ Existence and multiplicity of nontrivial solutions to quasilinear elliptic equations ⋮ Multiple solutions for a class of nonhomogeneous fourth-order quasilinear equations with nonlinearities ⋮ Concentrating solitary waves for a class of singularly perturbed quasilinear Schrödinger equations with a general nonlinearity ⋮ Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method ⋮ Multiple solutions for quasilinear elliptic equations with critical exponents in \(\mathbb{R} N\) ⋮ Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity ⋮ Positive solutions for a quasilinear Schrödinger equation involving Hardy potential and critical exponent ⋮ Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method ⋮ Existence of a bound state solution for quasilinear Schrödinger equations ⋮ Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations ⋮ Multiplicity of nonnegative solutions for quasilinear Schrödinger equations ⋮ Quasilinear Schrödinger equations: ground state and infinitely many normalized solutions ⋮ Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach ⋮ Multiple solutions for quasilinear elliptic equations with a finite potential well ⋮ Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential ⋮ Nonnegative solution for quasilinear Schrödinger equations that include supercritical exponents with nonlinearities that are indefinite in sign ⋮ Positive ground state solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Standing wave solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Multiplicity of solutions to a Schrödinger problem with square diffusion term ⋮ Solutions for a class of singular quasilinear equations involving critical growth in R2$\mathbb {R}^2$ ⋮ Nonlinear perturbations of a periodic Schrödinger equation with supercritical growth ⋮ Infinitely many solutions for quasilinear equations with critical exponent and Hardy potential in \(\mathbb{R}^N\) ⋮ Solutions for a quasilinear Schrödinger equation: Subcritical and critical cases ⋮ Multiple positive solutions to a class of modified nonlinear Schrödinger equation in a high dimension ⋮ Infinitely many solutions for critical quasilinear equations involving Hardy potential ⋮ Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies ⋮ Parameter-dependent multiplicity results of sign-changing solutions for quasilinear elliptic equations ⋮ Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity ⋮ Existence of positive solutions for a class of quasilinear Schrödinger equation with critical exponent ⋮ On a nonhomogeneous and singular quasilinear equation involving critical growth in \(\mathbb R^2\) ⋮ PERTURBATIONS FROM INDEFINITE SYMMETRIC ELLIPTIC BOUNDARY VALUE PROBLEMS ⋮ Infinitely many solutions for indefinite quasilinear Schrödinger equations under broken symmetry situations ⋮ Unnamed Item ⋮ Existence and concentration of ground states to a quasilinear problem with competing potentials ⋮ Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Generalized quasilinear Schrödinger equations with concave functions \( l(s^2)\) ⋮ Solutions for critical quasilinear elliptic equations in RN ⋮ Positive solutions for quasilinear Schrödinger equations with critical growth and potential vanishing at infinity ⋮ Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold ⋮ Infinitely many solutions for generalized quasilinear Schrödinger equations with a finite potential well ⋮ Concentrating soliton solutions for quasilinear Schrödinger equations involving critical Sobolev exponents ⋮ Multiplicity and asymptotic behavior of solutions for quasilinear elliptic equations with small perturbations ⋮ Nodal solutions for a generalized quasilinear Schrödinger equation with critical exponents ⋮ A variant of Clark's theorem and its applications for nonsmooth functionals without the global symmetric condition ⋮ Ground state solutions for generalized quasilinear Schrödinger equations without \((AR)\) condition ⋮ Nodal solutions for a quasilinear elliptic equation involving the \(p\)-Laplacian and critical exponents ⋮ Multiple solutions of a parameter-dependent quasilinear elliptic equation ⋮ Global multiplicity of solutions for a modified elliptic problem with singular terms * ⋮ Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth ⋮ Soliton solutions for a singular Schrödinger equation with any growth exponents ⋮ Multiple solutions for elliptic equations with quasilinear perturbation ⋮ On a Brezis-Nirenberg type quasilinear problem ⋮ Positive ground state solutions for a quasilinear elliptic equation with critical exponent ⋮ Infinitely many radial and non-radial solutions to a quasilinear Schrödinger equation ⋮ Nodal soliton solutions for generalized quasilinear Schrödinger equations ⋮ Unnamed Item ⋮ Positive solution for a quasilinear elliptic equation involving critical or supercritical exponent ⋮ Existence of solution for a class of quasilinear Schrödinger equation in \(\mathbb{R}^N\) with zero-mass ⋮ Existence of solution for a class of quasilinear Schrödinger equation in \(\mathbb{R}^N\) with zero-mass ⋮ Nodal solutions for a quasilinear Schrödinger equation with critical nonlinearity and non-square diffusion ⋮ Positive, negative, and sign-changing solutions to a quasilinear Schrödinger equation with a parameter ⋮ Positive solutions for quasilinear Schrödinger equations with superlinear term ⋮ Sign-changing solutions for a parameter-dependent quasilinear equation ⋮ Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity ⋮ Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities ⋮ Quasilinear Choquard equation with critical exponent ⋮ Bifurcation analysis for a modified quasilinear equation with negative exponent ⋮ Least Energy Nodal Solutions for a Defocusing Schrödinger Equation with Supercritical Exponent ⋮ Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Fast and slow decaying solutions for \(H^{1}\)-supercritical quasilinear Schrödinger equations ⋮ Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents ⋮ Some results on standing wave solutions for a class of quasilinear Schrödinger equations ⋮ Concentration behavior of solutions for quasilinear elliptic equations with steep potential well ⋮ Critical quasilinear equations with singular potentials via perturbation method ⋮ Positive solutions to discontinuous quasilinear problems with critical exponents ⋮ Existence results for quasilinear Schrödinger equations under a general critical growth term ⋮ Multiple positive solutions to a class of modified nonlinear Schrödinger equations ⋮ Antisymmetric solutions for a class generalized quasilinear Schrödinger equations
This page was built for publication: Quasilinear elliptic equations with critical growth via perturbation method
