Uniqueness and non-degeneracy of solutions for nonlinear fractional Schrodinger equation with perturbation

被引：0

作者：

Wu, Yuanda ^{[1
]}

Zhang, Yimin ^{[1
]}

机构：

[1] Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 08期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1063/5.0208876

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper concerned a fractional Schr & ouml;dinger equation in whole space, for epsilon > 0 is a small parameter, epsilon(2s)(-Delta)(s)u + V(x)u = |u|(p-2)u, where 12<s<1, N > 1 and 2<p<2N/N-2s. We prove the non-degeneracy and uniqueness of bubble solutions by using local Pohozaev identity and finite dimensional reduction, which are the cornerstones to construct different type solutions.

引用

页数：11

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