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

共 50 条

[1] Cylindrical Solutions and Ground State Solutions to Weighted Kirchhoff Equations
Zupei Shen
Jianshe Yu
The Journal of Geometric Analysis, 2022, 32
[2] GROUND STATE SOLUTIONS FOR QUASILINEAR EQUATIONS OF KIRCHHOFF TYPE
Zhao, Junfang
Liu, Xiangqing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[3] Ground State Solutions for Kirchhoff Type Quasilinear Equations
Liu, Xiangqing
Zhao, Junfang
ADVANCED NONLINEAR STUDIES, 2019, 19 (02) : 353 - 373
[4] Ground state solutions for a class of fractional Kirchhoff equations with critical growth
He, Xiaoming
Zou, Wenming
SCIENCE CHINA-MATHEMATICS, 2019, 62 (05) : 853 - 890
[5] Ground State and Multiple Solutions for Kirchhoff Type Equations With Critical Exponent
Qin, Dongdong
He, Yubo
Tang, Xianhua
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (02): : 353 - 369
[6] EXISTENCE OF GROUND STATE SOLUTIONS TO THE NONLINEAR KIRCHHOFF TYPE EQUATIONS WITH POTENTIALS
Ikoma, Norihisa
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (03) : 943 - 966
[7] Ground state solutions for the nonlinear Kirchhoff type equations with lower term
Jia, Huifang
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (11)
[8] GROUND STATE SOLUTIONS FOR FRACTIONAL KIRCHHOFF TYPE EQUATIONS WITH CRITICAL GROWTH
Li, Kexue
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (10)
[9] Ground state solutions for a class of fractional Kirchhoff equations with critical growth
Xiaoming He
Wenming Zou
Science China(Mathematics), 2019, 62 (05) : 853 - 890
[10] Ground state solutions for a class of fractional Kirchhoff equations with critical growth
Xiaoming He
Wenming Zou
Science China Mathematics, 2019, 62 : 853 - 890

← 1 2 3 4 5 →