Hardy-Sobolev equation on compact Riemannian manifolds involving p-Laplacian

被引：6

作者：

Chen, Nanbo ^{[1
]}

Liu, Xiaochun ^{[1
,2
]}

机构：

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

[2] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 487卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hardy-Sobolev equation; p-Laplacian; Critical exponent; Compact Riemannian manifold; LINEAR ELLIPTIC EQUATION; MULTIPLE SOLUTIONS; EXISTENCE; INEQUALITIES;

D O I：

10.1016/j.jmaa.2020.123992

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply the Hardy-Sobolev inequality and minimization method in the spirit of Aubin to obtain the existence theorem for a class of quasilinear elliptic equations with critical Hardy-Sobolev exponent on compact Riemannian manifolds. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：27

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