In this article, we consider the nonlocal problem
where , , and q(x) is a given potential. Under suitable assumptions on q(x), we prove the existence and nonexistence of nontrivial solutions.
Submitted November 8, 2015. Published January 4, 2016.
Math Subject Classifications: 35A15, 35J20, 35J60.
Key Words: Choquard equation; nonlocal nonlinearities; variational methods.
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| Tao Wang |
School of Mathematics and Statistics
Central South University
Changsha, Hunan 410083, China
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