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

Authors

• Wenxiong Chen
• Wenbin Gan
• Shibo Liu, Florida Institute of TechnologyFollow

Document Type

Article

Publication Title

Boundary Value Problems

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. © 2019, The Author(s).

DOI

10.1186/s13661-019-01296-1

Publication Date

2019

Recommended Citation

Chen, Wenxiong; Gan, Wenbin; and Liu, Shibo, "Existence of positive ground state solutions of Schrödinger–Poisson system involving negative nonlocal term and critical exponent on bounded domain" (2019). Mathematics and System Engineering Faculty Publications. 201.
https://repository.fit.edu/math_faculty/201