LOCAL UNIQUENESS PROBLEM FOR A NONLINEAR ELLIPTIC EQUATION

被引：0

作者：

Chen, Miao ^{[1
]}

Wan, Youyan ^{[2
]}

Xiang, Chang-Lin ^{[1
]}

机构：

[1] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China

[2] Jianghan Univ, Dept Math, Wuhan 430056, Hubei, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 02期

关键词：

Nonlinear Schrodinger equation; concentrating solutions; local uniqueness; local Pohozaev identity; SEMICLASSICAL BOUND-STATES; SCHRODINGER-EQUATIONS; MULTI-BUMP; POTENTIALS; EXISTENCE;

D O I：

10.3934/cpaa.2020048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following nonlinear Schrodinger equation -epsilon(2)Delta u(epsilon) + u(epsilon) = K(x)u(epsilon)(p-1) in R-N, where N >= 3 and 2 < p < 2N/(N - 2). Under mild assumptions on the function K and using the local Pohozaev identity method developed by Deng, Lin and Yan [10], we show that multi-peak solutions to the above equation are unique for epsilon > 0 sufficiently small.

引用

页码：1037 / 1055

页数：19

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