Hardy-Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds

被引：0

作者：

Chen, Nanbo ^{[1
,2
]}

Liang, Honghong ^{[1
]}

Huang, Zhihua ^{[3
]}

Liu, Xiaochun ^{[4
]}

机构：

[1] Guilin Univ Elect Technol, Guangxi Coll & Univ Key Lab Data Anal & Computat, Sch Math & Comp Sci, Guilin 541002, Peoples R China

[2] Ctr Appl Math Guangxi GUET, Guilin 541002, Peoples R China

[3] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Peoples R China

[4] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2024年 / 15卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hardy-Sobolev equations; Nehari manifold; Compact Riemannian manifold; Singular nonlinearity; MULTIPLE POSITIVE SOLUTIONS; KIRCHHOFF TYPE PROBLEMS; SHARP CONSTANTS; INEQUALITIES; SINGULARITY; EXISTENCE;

D O I：

10.1007/s11868-024-00630-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of Hardy-Sobolev equations containing both sign-changing and negative power terms on closed Riemannian manifolds. With the help of a modified Nehari manifold method and some variational techniques, the existence and multiplicity of positive weak solutions are established, along with blow-up behavior analysis.

引用

页数：27

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