Uniqueness of positive solutions of the Choquard type equations

被引：41
|
作者：
Wang, Tao [1 ]
Yi, Taishan [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China
来源：
APPLICABLE ANALYSIS | 2017年 / 96卷 / 03期
关键词：
Choquard type equation; positive solutions; uniqueness; comparison and contraction technique;
D O I：
10.1080/00036811.2016.1138473
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：409 / 417
页数：9
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