Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains

Abstract In this paper, we concern with the following Schrödinger-Poisson system: {−Δu+ϕu=f(x,u),x∈Ω,−Δϕ=u2,x∈Ω,u=ϕ=0,x∈∂Ω, $$ \textstyle\begin{cases} -\Delta u+\phi u = f(x,u) , & x\in\Omega,\\ -\Delta\phi=u^{2}, & x\in\Omega,\\ u=\phi=0, & x \in\partial\Omega, \end{cases} $$ where Ω is...

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發表在:	Boundary Value Problems
Main Authors:	Belal Almuaalemi, Haibo Chen, Sofiane Khoutir
格式:	Article
語言:	英语
出版:	SpringerOpen 2018-02-01
主題:	Schrödinger-Poisson system variational methods mountain pass theorem symmetric mountain pass theorem
在線閱讀:	http://link.springer.com/article/10.1186/s13661-018-0933-y