Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation

DOI10.1007/s11784-017-0475-4zbMath1379.35111OpenAlexW2749585311MaRDI QIDQ1684915

Bitao Cheng, Zu Gao, Xian Hua Tang, Jian-Hua Chen

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0475-4

zbMATH Keywords

non-Nehari manifold methodKirchhoff-type perturbationgeneralized quasilinear Schrödinger equationsground state sign-changing solutions

Mathematics Subject Classification ID

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

Related Items (13)

GROUND STATE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRÖDINGER-POISSON-KIRCHHOFF TYPEPROBLEMS WITH A CRITICAL NONLINEARITY IN ℝ 3 ⋮ Existence and asymptotic behavior of ground state sign-changing solutions for a nonlinear Schrödinger-Poisson-Kirchhoff system in \(\mathbb{R}^3\) ⋮ Multiplicity and concentration results for generalized quasilinear Schrödinger equations with nonlocal term ⋮ Unnamed Item ⋮ Existence and concentration behavior of ground state solutions for a class of generalized quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type ⋮ Semiclassical solutions of generalized quasilinear Schrödinger equations with competing potentials ⋮ Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ Ground state solutions for Kirchhoff type quasilinear equations ⋮ Ground state solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents ⋮ The existence of sign-changing solution for a class of quasilinear Schrödinger-Poisson systems via perturbation method ⋮ Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type

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