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.
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页数：23
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