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

Authors :
Wenxuan Zheng
Wenbin Gan
Shibo Liu
Source :
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-10 (2019)
Publication Year :
2019
Publisher :
SpringerOpen, 2019.

Abstract

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.

Details

Language :
English
ISSN :
16872770
Volume :
2019
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Boundary Value Problems
Publication Type :
Academic Journal
Accession number :
edsdoj.094fbc6d23441f6a8aa9744db511185
Document Type :
article
Full Text :
https://doi.org/10.1186/s13661-019-01296-1