Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign-changing potentials

Abstract In this paper, we study the following nonlinear Klein–Gordon–Maxwell system: {−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+λh(x)|u|q−2u,x∈R3,Δϕ=(ω+ϕ)u2,x∈R3,(Pλ) $$ \textstyle\begin{cases} -\Delta u+ V(x)u-(2\omega +\phi )\phi u = f(x,u)+\lambda h(x) \vert u \vert ^{q-2}u, & x\in \mathbb{R}^{3},\\ \Delta \phi...

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Bibliografische Detailangaben

Hauptverfasser:	Chongqing Wei, Anran Li
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	SpringerOpen 2019-02-01
Schriftenreihe:	Advances in Difference Equations
Schlagworte:	Klein–Gordon–Maxwell system Symmetric Mountain Pass theorem Mountain Pass theorem Variational methods Nontrivial solutions
Online-Zugang:	http://link.springer.com/article/10.1186/s13662-019-2020-9
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