On Kirchhoff-Type Equations with Hardy Potential and Berestycki–Lions Conditions-Reference-Cited by-同舟云学术

On Kirchhoff-Type Equations with Hardy Potential and Berestycki–Lions Conditions

Published:2023-06-09 Issue:12 Volume:11 Page:2648
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Yang Hua¹,Liu Jiu²³

Affiliation:

1. School of Mathematics and Information Science, Anyang Institute of Technology, Anyang 455000, China

2. School of Mathematics and Statistics, Qiannan Normal University for Nationalities, Duyun 558000, China

3. Key Laboratory of Complex Systems and Intelligent Optimization of Guizhou Province, Duyun 558000, China

Abstract

The purpose of this paper is to investigate the existence and asymptotic properties of solutions to a Kirchhoff-type equation with Hardy potential and Berestycki–Lions conditions. Firstly, we show that the equation has a positive radial ground-state solution uλ by using the Pohozaev manifold. Secondly, we prove that the solution uλn, up to a subsequence, converges to a radial ground-state solution of the corresponding limiting equations as λn→0−. Finally, we provide a brief summary.

Funder

NNSFC

Science and Technology Foundation of Guizhou

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/12/2648/pdf

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