期刊
APPLIED MATHEMATICS LETTERS
卷 63, 期 -, 页码 77-87出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2016.07.027
关键词
Semilinear elliptic; Variational methods; Hartree type nonlocal term; Critical problem
资金
- Kyonggi University Research Grant
We consider a critical version of nonlinear Choquard equation {-Delta u + u = (I-alpha * vertical bar u vertical bar(p-2)u + lambda vertical bar u vertical bar(2)*(-2)u in R-N, [GRAPHICS] u(x) = 0, where I-alpha denotes the Riesz potential. This equation can be seen as a nonlocal perturbation of the usual critical problem in a whole space. Using some perturbation arguments, we construct a family of nontrivial solutions, which converges to a least energy solution of the limiting critical local problem as alpha -> 0. (C) 2016 Elsevier Ltd. All rights reserved.
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