Non-degeneracy and existence of new solutions for the Schrodinger equations

被引：10

作者：

Guo, Yuxia ^{[1
]}

Musso, Monica ^{[2
]}

Peng, Shuangjie ^{[3
]}

Yan, Shusen ^{[3
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Somerset, England

[3] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 326卷

基金：

英国工程与自然科学研究理事会;

关键词：

PERTURBED ELLIPTIC-EQUATIONS; SEMICLASSICAL STATES; MULTIPEAK SOLUTIONS; POSITIVE SOLUTIONS; BOUND-STATES; SYMMETRY; UNIQUENESS; SPHERES;

D O I：

10.1016/j.jde.2022.04.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the following nonlinear problem -Delta u + V (|y|)u = u(p), u > 0 in R-N, u is an element of H-1(R-N), (0.1) where V (r) is a positive function, 1 < p < N+2/N-2. We show that the multi-bump solutions constructed in [27] are non-degenerate in a suitable symmetric space. We also use this non-degenerate result to construct new solutions for (0.1). (c) 2022 Elsevier Inc. All rights reserved.

引用

页码：254 / 279

页数：26

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