Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential

被引：32

作者：

Xiang, Chang-Lin ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 08期

基金：

芬兰科学院;

关键词：

Quasilinear elliptic equations; Hardy's inequality; Comparison principle; Asymptotic behaviors; CRITICAL EXPONENTS; SYMMETRY; INEQUALITIES; EXISTENCE;

D O I：

10.1016/j.jde.2015.05.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations -Delta(p)u - mu/vertical bar x vertical bar(p)vertical bar u vertical bar(p-2)u = Q(x)vertical bar u vertical bar N-p/N-p-2u, X is an element of R-N, where 1 < p < N, 0 <= mu < ((N - p)/p)(P) and Q is an element of L-infinity(R-N). (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：3929 / 3954

页数：26

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