Nonlocal problems with critical Hardy nonlinearity

被引：63

作者：

Chen, Wenjing ^{[1
]}

Mosconi, Sunra ^{[2
]}

Squassina, Marco ^{[3
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[3] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 275卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Fractional p-Laplacian problems; Critical exponents; Sobolev-Hardy inequality; BREZIS-NIRENBERG RESULT; P-LAPLACE EQUATIONS; FRACTIONAL LAPLACIAN; CRITICAL GROWTH; EIGENVALUE PROBLEMS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; CRITICAL SOBOLEV; INEQUALITIES; FUNCTIONALS;

D O I：

10.1016/j.jfa.2018.02.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：3065 / 3114

页数：50

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