Multiple solutions for nonhomogeneous Schrödinger-Poisson equations with sign-changing potential

DOI10.1016/S0252-9602(17)30021-8zbMath1389.35142OpenAlexW2593585551MaRDI QIDQ681027

Lixia Wang, Shiwang Ma, Na Xu

Publication date: 29 January 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30021-8

zbMATH Keywords

Mountain Pass TheoremEkeland's variational principlesign-changing potentialSchrödinger-Poisson equationsnonhomogeneous

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Ground state solutions for the critical Klein-Gordon-Maxwell system ⋮ Unnamed Item ⋮ Infinitely many high energy solutions for the generalized Chern-Simons-Schrödinger system ⋮ Existence of multiple solutions to Schrödinger-Poisson system in a nonlocal set up in \(\mathbb{R}^3\) ⋮ Unnamed Item ⋮ Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation ⋮ MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES

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