Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential

被引：4

作者：

He, Cheng-Jun ^{[1
]}

Xiang, Chang-Lin ^{[2
]}

机构：

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Peoples R China

[2] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 441卷 / 01期

基金：

芬兰科学院;

关键词：

Quasilinear elliptic equations; Hardy's inequality; Asymptotic behaviors; Comparison principle; SCALAR FIELD-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2016.03.082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal estimates on 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 + m vertical bar u vertical bar(p-2) u = f(u), x is an element of RN, where 1 < p < N, 0 <= mu < ((N - p)/p)(p) , m > 0 and f is a continuous function. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：211 / 234

页数：24

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