期刊
APPLICABLE ANALYSIS
卷 96, 期 3, 页码 409-417出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2016.1138473
关键词
Choquard type equation; positive solutions; uniqueness; comparison and contraction technique
资金
- National Natural Science Foundation of P.R. China [11171098, 11571371]
- Hunan Provincial NSF [11JJ1001]
In this paper, by developing Lieb's methods, we establish uniqueness of the positive radial solutions to the following solitary Choquard type equation -Delta phi + phi = (integral(RN) vertical bar phi(y)vertical bar(2)/vertical bar x - y vertical bar N-2 dy) phi, phi is an element of H-1 (R-N) This, together with Ma and Zhao's classification results, enables us to show the uniqueness of the positive solutions when N = 3, 4, 5.
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