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

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

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.

Bibliographic Details
Main Authors: Wenxuan Zheng, Wenbin Gan, Shibo Liu
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Boundary Value Problems
Subjects:
Negative nonlocal
Critical exponent
Mountain pass theorem
Concentration compactness principle
Online Access:https://doi.org/10.1186/s13661-019-01296-1

Internet

https://doi.org/10.1186/s13661-019-01296-1

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