当前位置: X-MOL 学术Appl. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Non-degeneracy of single-peak solutions to a Kirchhoff equation
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-09-18 , DOI: 10.1080/00036811.2021.1979220
Jiahong Yan 1 , Jing Yang 1
Affiliation  

ABSTRACT

In this paper, we are concerned with the following singular perturbation Kirchhoff equation (ε2a+εbR3|u|2dy)Δu+V(y)u=|u|p1u,uH1(R3),where constants a,b,ε>0 and 1<p<5. By using local Pohozaev identity and blow-up analysis, we derive the non-degeneracy of the single-peak solutions to the above problem under some suitable condition on V(y) for small ε.



中文翻译:

基尔霍夫方程单峰解的非简并性

摘要

在本文中,我们关注以下奇异微扰基尔霍夫方程(ε2个A+εbR3个||2个d)+V()=||p1个,H1个(R3个),其中常量A,b,ε>0和 1< p <5。通过使用局部 Pohozaev 恒等式和爆破分析,我们推导出上述问题的单峰解在某些合适的条件下的非退化性V()对于小ε

更新日期:2021-09-18
down
wechat
bug