Existence of positive solutions, negative solutions and high energy solutions for quasi-linear elliptic equations on \(\mathbb R^N\)

DOI10.1016/j.nonrwa.2013.09.005zbMath1298.35083OpenAlexW2084868557MaRDI QIDQ2510784

Xian Wu, Ke Wu

Publication date: 4 August 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2013.09.005

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (19)

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 and multiplicity of nontrivial solutions for a class of modified nonlinear fourth-order elliptic equations on \(\mathbb{R}^N\) ⋮ A nontrivial solution of a quasilinear elliptic equation via dual approach ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ Existence and multiplicity of solutions for a quasilinear Choquard equation via perturbation method ⋮ Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential ⋮ Standing wave solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity ⋮ PERTURBATIONS FROM INDEFINITE SYMMETRIC ELLIPTIC BOUNDARY VALUE PROBLEMS ⋮ Infinitely many solutions for indefinite quasilinear Schrödinger equations under broken symmetry situations ⋮ Existence and concentration of ground states to a quasilinear problem with competing potentials ⋮ Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold ⋮ Multiplicity and concentration behavior of positive solutions for a generalized quasilinear Choquard equation ⋮ Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Positive solutions to discontinuous quasilinear problems with critical exponents ⋮ MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS IN $\mathbb{R}$^<i>N</i> ⋮ The existence of sign-changing solution for a class of quasilinear Schrödinger-Poisson systems via perturbation method ⋮ Existence of infinitely many solutions for a quasilinear elliptic equation

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