期刊
SCIENCE CHINA-MATHEMATICS
卷 61, 期 7, 页码 1219-1242出版社
SCIENCE PRESS
DOI: 10.1007/s11425-016-9067-5
关键词
Brezis-Nirenberg problem; Choquard equation; Hardy-Littlewood-Sobolev inequality; critical exponent
资金
- National Natural Science Foundation of China [11571317, 11671364]
- Natural Science Foundation of Zhejiang [LY15A010010]
We establish some existence results for the Brezis-Nirenberg type problem of the nonlinear Choquard equation -. u = ( O | u (y)| 2 | x - y | d y) | u | 2 2 u + u in O; where Omega is a bounded domain of R (N) with Lipschitz boundary, lambda is a real parameter, N 3, is the critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality.
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