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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 a smooth bo...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awduron: Belal Almuaalemi, Haibo Chen, Sofiane Khoutir
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: SpringerOpen 2018-02-01
Cyfres:Boundary Value Problems
Pynciau:
Mynediad Ar-lein:http://link.springer.com/article/10.1186/s13661-018-0933-y
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!