Cylindrical Solutions and Ground State Solutions to Weighted Kirchhoff Equations

被引：0
作者：
Zupei Shen
Jianshe Yu
机构：
[1] Guangdong University of Finance,School of Financial Mathematics and Statistics
[2] Guangzhou University,Center for Applied Mathematics
来源：
The Journal of Geometric Analysis | 2022年 / 32卷
关键词：
Kirchhoff equation; Cylindrical solution; Ground state solution; Concentration Compactness Principle; 35J10; 35J20; 35J60;
D O I：
暂无
中图分类号：
学科分类号：
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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