INFINITELY MANY SOLUTIONS FOR THE FRACTIONAL p&q PROBLEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND SIGN-CHANGING WEIGHT FUNCTIONS

被引：0

作者：

Xu, Zhiguo ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2021年 / 34卷 / 9-10期

关键词：

CONCENTRATION-COMPACTNESS PRINCIPLE; KIRCHHOFF TYPE PROBLEMS; Q ELLIPTIC PROBLEMS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; NONLOCAL PROBLEMS; CRITICAL GROWTH; EXISTENCE; MULTIPLICITY; EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Kirchhoff type problems involving fractional p&q problem with critical Sobolev-Hardy exponents and sign-changing weight functions. By using the fractional version of concentration-compactness principle together with Krasnoselskii's genus, we obtain the multiplicity of solutions for this kind problem. The main feature and difficulty of our equations arise in the fact that the Kirchhoff term M could vanish at zero, that is, the problem is degenerate.

引用

页码：519 / 537

页数：19

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