Local uniqueness of multi-peak solutions to a class of Schrodinger equations with competing potential

被引：0
|
作者：
Niu, Yahui [1 ]
Tian, Shuying [2 ]
Yang, Pingping [3 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450003, Peoples R China
[2] Sch Sci Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
[3] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 03期
关键词：
SEMICLASSICAL BOUND-STATES; POSITIVE SOLUTIONS; EXISTENCE; BUMP;
D O I：
10.1063/5.0134220
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the nonlinear Schrodinger equations. Let A(x) := [V(x)](p/p-2 - N2) [K(x)](- 2/p-2). Under some conditions on A, we show the local uniqueness of positive multi-peak solutions concentrating near k(k >= 2) distinct non-degenerate critical points of A by using the local Pohozaev identity. We generalize Cao-Li-Luo's results to the competing potential cases and show how these two potentials impact the uniqueness of concentrated solutions.
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页数：16
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