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.

引用

页数：16

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