LOCAL UNIQUENESS OF MULTI-PEAK SOLUTIONS TO A CLASS OF KIRCHHOFF EQUATIONS

被引：1
|
作者：
Li, Gongbao [1 ]
Niu, Yahui [1 ]
Xiang, Chang-Lin [2 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2020年 / 45卷
关键词：
Kirchhoff equations; multi-peak positive solutions; local uniqueness; local Pohozaev identity; NONLINEAR SCHRODINGER-EQUATIONS; BOUND-STATES; POSITIVE SOLUTIONS; CONCENTRATION BEHAVIOR; EXISTENCE; MULTIPLICITY; BUMP; R-3;
D O I：
10.5186/aasfm.2020.4503
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the nonlocal Kirchhoff problem -(c(2)a + cb integral(R3 )vertical bar del u vertical bar(2)) Delta u + V(x)u = u(p), u > 0, u is an element of H1(R-3) where a, b > 0, 1 < p < 5 are constants, c > 0 is a parameter. Under some assumptions on V(x), we show the local uniqueness of positive multi-peak solutions by using the local Pohozaev identity.
引用
收藏
页码：121 / 137
页数：17
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