Positive Ground State Solutions for Schrodinger-Poisson System with General Nonlinearity and Critical Exponent  

作　　者：CHEN Qingfang LIAO Jiafeng 

机构地区：[1]School of Mathematics and Information,China West Normal University,Nanchong 637009,China [2]Nanchong NO.1 Middle School,Nanchong 637000,China [3]College of Mathematics Education,China West Normal University,Nanchong 637009,China

出　　处：《Journal of Partial Differential Equations》2023年第1期68-81,共14页偏微分方程（英文版）

基　　金：Supported by the Fundamental Research Funds of China West Normal University(No.18B015);Natural Science Foundation of Sichuan(No.23NSFSC1720).

摘　　要：In this paper,we consider the following Schrodinger-Poisson system{-Δu+ηΦu=f(x,μ)+μ^(5),x∈Ω,-ΔФ=μ^(2),x∈Ω,μ=Φ=0,x∈■Ω,whereΩis a smooth bounded domain in R^(3),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.

关 键 词：Schrodinger-Poisson system Sobolev critical exponent positive ground state solu-tion Mountain pass theorem 

分 类 号：O177.91[理学—数学]