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

共 50 条

[41] Infinitely many sign-changing solutions for a kind of planar Choquard equation with critical exponential growth [J].

Dai, Siyu ;

Chen, Shaoxiong ;

Gu, Guangze .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025,

[42] Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities [J].

Li, Juan ;

Tong, Yuxia .

JOURNAL OF FUNCTION SPACES, 2014, 2014

[43] INFINITELY MANY POSITIVE AND SIGN-CHANGING SOLUTIONS FOR NONLINEAR FRACTIONAL SCALAR FIELD EQUATIONS [J].

Long, Wei ;

Peng, Shuangjie ;

Yang, Jing .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) :917-939

[44] INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRODINGER-POISSON SYSTEMS WITH SIGN-CHANGING POTENTIAL [J].

Chen, Jianhua ;

Tang, Xianhua ;

Luo, Huxiao .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,

[45] ON A NONLOCAL p(x)-LAPLACIAN DIRICHLET PROBLEM INVOLVING SEVERAL CRITICAL SOBOLEV-HARDY EXPONENTS [J].

Costa, Augusto Cesar dos Reis ;

da Silva, Ronaldo Lopes .

OPUSCULA MATHEMATICA, 2024, 44 (06) :789-814

[46] Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential [J].

Cao, Daomin ;

Yan, Shusen .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 38 (3-4) :471-501

[47] Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions [J].

Chu, Chang-Mu .

BOUNDARY VALUE PROBLEMS, 2014,

[48] Infinitely many sign-changing solutions for a class of biharmonic equation with p-Laplacian and Neumann boundary condition [J].

Sun, Fenglong ;

Liu, Lishan ;

Wu, Yonghong .

APPLIED MATHEMATICS LETTERS, 2017, 73 :128-135

[49] Infinitely many sign-changing solutions for system of p-Laplace equations in RN [J].

Zhao, Junfang ;

Liu, Xiangqing ;

Liu, Jiaquan .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 182 :113-142

[50] The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions [J].

Lan, Fengqin ;

He, Xiaoming .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 180 :236-263

← 1 2 3 4 5 →