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Positive solutions to Schrödinger-Kirchhoff equations with inverse potential
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-11-25 , DOI: 10.1080/17476933.2020.1843642
Linfeng Luo 1 , Zuji Guo 2
Affiliation  

This paper is concerned with the existence of positive solutions to Schrödinger-Kirchhoff-type equations (P)a+bR3|u|2Δu+V(x)u=|u|p1uin R3,uH1(R3), where a and b are two positive constants, p(1,5) and V:R3R is a potential function. Under certain assumptions on V, we prove that (P) has no ground state solution. However, we can show (P) has a positive bound state solution by applying a new version of the global compactness lemma and the linking theorem.



中文翻译:

具有反势的薛定谔-基尔霍夫方程的正解

本文关注薛定谔-基尔霍夫型方程正解的存在性()-一种+bR3||2Δ+(X)=||p-1一世n R3,H1(R3),其中ab是两个正常数,p(1,5)R3R是一个势函数。在对V的某些假设下,我们证明()没有基态解。但是,我们可以展示()通过应用新版本的全局紧致引理和链接定理,得到正的束缚态解。

更新日期:2020-11-25
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