Existence of positive ground state solutions of Schrödinger–Poisson system involving negative nonlocal term and critical exponent on bounded domain

Boundary Value Problems

Shibo Liu¹  Wenbin Gan¹  Wenxuan Zheng² 

[1]School of Mathematical Sciences, Xiamen University

[2]School of Mechanical and Electronic Engineering, Tarim University

关键词: Negative nonlocal;    Critical exponent;    Mountain pass theorem;    Concentration compactness principle;   

DOI  :  10.1186/s13661-019-01296-1

来源: DOAJ

【 摘 要 】

Abstract In this paper, we prove the existence of positive ground state solutions of the Schrödinger–Poisson system involving a negative nonlocal term and critical exponent on a bounded domain. The main tools are the mountain pass theorem and the concentration compactness principle.

【 授权许可】

Unknown