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
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