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Physical Sciences and Engineering Mathematics Analysis

On the existence of solutions for the Schrödinger–Poisson equations

Article ID Journal Published Year Pages File Type
4620718 Journal of Mathematical Analysis and Applications 2008 15 Pages PDF
Abstract

In this paper, we are concerned with the system of Schrödinger–Poisson equationsequation(*){−Δu+V(x)u+ϕu=f(x,u),in R3,−Δϕ=u2,in R3. Under certain assumptions on V and f, the existence and multiplicity of solutions for (*) are established via variational methods.

Keywords
Ground state solutionVariational methodsPohozaev identity
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On the existence of solutions for the Schrödinger–Poisson equations
Authors
Leiga Zhao, Fukun Zhao,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Ground state solution
Variational methods
Pohozaev identity
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