Tao Wang
Abstract:
This article concerns the Choquard type equation
where
,
,
and V(x) is a possibly singular potential and may be unbounded below.
Applying a variant of the Lions' concentration-compactness principle,
we prove the existence of ground state solution of the above equations.
Submitted June 6, 2016. Published February 21, 2017.
Math Subject Classifications: 35A15, 35A20, 35J20.
Key Words: Choquard equation; singular potential; ground state solution;
Lions' concentration-compactness principle.
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Tao Wang College of Mathematics and Computing Science Hunan University of Science and Technology Xiangtan, Hunan 411201, China email: wt_61003@163.com |
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