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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
中文翻译:
基尔霍夫方程单峰解的非简并性
更新日期:2021-09-18
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 where constants 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 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其中常量和 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对于小ε。