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Local uniqueness of multi-bump solutions for singularly perturbed Kirchhoff problems
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-09-29 , DOI: 10.1016/j.aml.2021.107684
Mingzhu Yu 1 , Hongxia Shi 2
Affiliation  

We consider the following Kirchhoff type problem: ɛ2a+ɛbR3|u|2Δu+V(x)u=|u|p2u,xR3,where a,b>0, p(4,6), VC1(R,[0,)) and ɛ>0 is a parameter. Under some local assumptions on V, we prove the uniqueness of multi-bump solutions concentrating around zero points of V by a local Pohozaev identity.



中文翻译:

奇异摄动基尔霍夫问题多凸点解的局部唯一性

我们考虑以下基尔霍夫型问题: -ɛ2一种+ɛ电阻3||2Δ+(X)=||-2,X电阻3,在哪里 一种,>0, (4,6), C1(电阻,[0,))ɛ>0是一个参数。在一些局部假设下,我们证明了集中在零点附近的多凸点解的唯一性 通过当地的 Pohozaev 身份。

更新日期:2021-10-07
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