Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems

DOI10.1007/s10231-013-0363-5zbMath1309.35008arXiv1211.3475OpenAlexW2034978791MaRDI QIDQ2255363

Shibo Liu, Huayang Chen

Publication date: 9 February 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3475

zbMATH Keywords

local linkingSchrödinger-Poisson systems\((C)^*\) condition4-superlinear

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47)

Related Items (13)

Standing waves for quasilinear Schrödinger equations with indefinite potentials ⋮ Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials ⋮ Solutions for fourth order elliptic equations on \(\mathbb{R}^N\) involving \(u \Delta(u^{2})\) and sign-changing potentials ⋮ Standing wave solutions for a generalized quasilinear Schrödinger equation with indefinite potential ⋮ Infinitely many large energy solutions for the Schrödinger-Poisson system with concave and convex nonlinearities ⋮ Unnamed Item ⋮ Existence of multiple nontrivial solutions for a strongly indefinite Schrödinger-Poisson system ⋮ On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity ⋮ Unnamed Item ⋮ Multiple solutions for a class of Schrödinger-Poisson system with indefinite nonlinearity ⋮ Nontrivial solutions for Klein-Gordon-Maxwell systems with sign-changing potentials ⋮ Existence results for Kirchhoff type Schrödinger-Poisson system involving the fractional Laplacian ⋮ Existence of nontrivial solution for a 4-sublinear Schrödinger-Poisson system

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