On the Existence of Solutions for a Class of Schrödinger–Kirchhoff-Type Equations with Sign-Changing Potential

In this paper, we consider the following Kirchhoff problem −a+b∫R3∇u2dxΔu+λVxu=up−2u, in R3u∈H1R3 where a,b>0 are constants, λ is a positive parameter, and 4<p<6. Under suitable assumptions on Vx, the existence of nontrivial solution is obtained via variational methods. The potential Vx is...

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Bibliographic Details
Main Authors: Guocui Yang, Jianwen Zhou, Shengzhong Duan
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2022/1735888
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