Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

He, Cheng-Jun¹  Xiang, Chang-Lin² 

[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

关键词: Quasilinear elliptic equations;    Hardy's inequality;    Asymptotic behaviors;    Comparison principle;   

DOI  :  10.1016/j.jmaa.2016.03.082

来源: Elsevier

【 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.

【 授权许可】

Free