Cylindrical Solutions and Ground State Solutions to Weighted Kirchhoff Equations

被引：2

作者：

Shen, Zupei ^{[1
]}

Yu, Jianshe ^{[2
]}

机构：

[1] Guangdong Univ Finance, Sch Financial Math & Stat, Guangzhou, Peoples R China

[2] Guangzhou Univ, Ctr Appl Math, Guangzhou, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Kirchhoff equation; Cylindrical solution; Ground state solution; Concentration Compactness Principle; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; ELLIPTIC EQUATION; EXISTENCE; BEHAVIOR; SYSTEMS; ENERGY;

D O I：

10.1007/s12220-022-00995-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the existence and non-existence of cylindrical solutions as well as ground state solutions to a class of Kirchhoff-type problems with critical Sobolev exponent, subcritical Sobolev exponent, and critical Sobolev-Hardy exponent. To the best of our knowledge, this is the first time to study the existence of cylindrically symmetric solutions to the Kirchhoff equations in the literature.

引用

页数：23

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