Existence of infinitely many solutions for \(p\)-Laplacian equations in \(\mathbb{R}^N\)

DOI10.1016/j.na.2013.06.011zbMath1308.35074OpenAlexW2050801808MaRDI QIDQ2254294

Xiaoyan Lin, Xian Hua Tang

Publication date: 4 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.06.011

zbMATH Keywords

\(p\)-Laplacian equationsign-changing potential\(p\)-superlinear

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (24)

Infinitely many solutions of degenerate quasilinear Schrödinger equation with general potentials ⋮ Existence of infinitely many small solutions for fractional Schrödinger-Poisson systems with sign-changing potential and local nonlinearity ⋮ Radially symmetric solutions for quasilinear elliptic equations involving nonhomogeneous operators in an Orlicz-Sobolev space setting ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ Infinitely many solutions for a fractional Schrödinger equation in \(\mathbb{R}^N\) with combined nonlinearities ⋮ Multiplicity results of solutions to the double phase anisotropic variational problems involving variable exponent ⋮ Existence results for an anisotropic variable exponent Kirchhoff-type problem ⋮ Elliptic anisotropic Kirchhoff-type problems with singular term ⋮ Existence of nontrivial weak solutions for a quasilinear Choquard equation ⋮ EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN R-N ⋮ Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\) ⋮ The existence of infinitely many solutions for nonlinear elliptic equations involving p-Laplace type operators in R^N ⋮ Existence of solutions for the semilinear corner degenerate elliptic equations ⋮ New existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff problems involving the fractional \(p\)-Laplacian with sign-changing potential ⋮ Multiple solutions for a class of fractional Hamiltonian systems ⋮ Periodic and subharmonic solutions for a class of second-order \( p\)-Laplacian Hamiltonian systems ⋮ Semiclassical solutions of perturbed \(p\)-Laplacian equations with critical nonlinearity ⋮ On a class of superlinear \((p,q)\)-Laplacian type equations on \(\mathbb{R}^N\) ⋮ WEAK POTENTIAL CONDITIONS FOR SCHRÖDINGER EQUATIONS WITH CRITICAL NONLINEARITIES ⋮ Existence of solutions for the \(( p , q )\)-Laplacian equation with nonlocal Choquard reaction ⋮ Infinitely many solutions of fractional Schrödinger–Maxwell equations ⋮ Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth ⋮ Existence of nontrivial weak solutions for \(p\)-biharmonic Kirchhoff-type equations

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