Wenbo Wang, Quanqing Li
Abstract:
This article concerns the Schrodinger-Poisson equation
where
. We prove that for all
, the equation
has a ground state solution. The methods used here are based on the
Nehari manifold and the concentration-compactness principle.
Furthermore, for
small, these ground states concentrate at
a global minimum point of the least energy function.
Submitted January 11, 2019. Published July 22, 2020.
Math Subject Classifications: 35J15, 35J20, 35J50.
Key Words: Schrodinger-Poisson equation; Nehari manifold; ground states;
concentration-compactness; concentration.
DOI: 10.58997/ejde.2020.78
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Wenbo Wang School of Mathematics and Statistics Yunnan University Kunming, 650500, Yunnan, China email: wenbowangmath@163.com | |
Quanqing Li Department of Mathematics Honghe University Mengzi, 661100, Yunnan, China email: shili06171987@126.com |
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