Double critical surfaces of singular quasilinear elliptic systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Kang, Dongsheng¹  Liu, Xiaonan¹ 

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

关键词: Quasilinear system;    Solution;    Asymptotic property;    Critical surface;    Hardy inequality;   

DOI  :  10.1016/j.jmaa.2019.123607

来源: Elsevier

【 摘 要 】

In this paper, we mainly study the asymptotic behaviors at the origin and infinity of positive weak solutions to quasilinear elliptic systems in R-N, which involve strongly-coupled critical nonlinearities and different Hardy-type terms. One critical surface is found, above and below which the asymptotic properties at the origin of solutions are different. Another critical surface is also found, above and below which the asymptotic properties at the infinity of solutions are different. The conclusions are new even in the case of p = 2. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free