Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent
Year: 2023
Author: Qingfang Chen, Jiafeng Liao
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 1 : pp. 68–81
Abstract
In this paper, we consider the following Schrödinger-Poisson system {−Δu+ηϕu=f(x,u)+u5,x∈Ω,−Δϕ=u2,x∈Ω,u=ϕ=0,x∈∂Ω, where Ω is a smooth bounded domain in R3, η=±1 and the continuous function f satisfies some suitable conditions. Based on the Mountain pass theorem, we prove the existence of positive ground state solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v36.n1.5
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 1 : pp. 68–81
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Schrödinger-Poisson system
Author Details
Qingfang Chen Email
Jiafeng Liao Email