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.
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页码：254 / 279
页数：26
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