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

被引：0
|
作者：
Yang, Hua [1 ]
Liu, Jiu [2 ,3 ]
机构：
[1] Anyang Inst Technol, Sch Math & Informat Sci, Anyang 455000, Peoples R China
[2] Qiannan Normal Univ Nationalities, Sch Math & Stat, Duyun 558000, Peoples R China
[3] Key Lab Complex Syst & Intelligent Optimizat Guizh, Duyun 558000, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 12期
关键词：
Kirchhoff equation; Pohozaev manifold; radial ground-state solution; GROUND-STATE SOLUTION; ASYMPTOTIC-BEHAVIOR; EXISTENCE;
D O I：
10.3390/math11122648
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 u(lambda) by using the Pohozaev manifold. Secondly, we prove that the solution u(lambda n), up to a subsequence, converges to a radial ground-state solution of the corresponding limiting equations as lambda(n) -> 0(-). Finally, we provide a brief summary.
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页数：10
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