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http://dx.doi.org/10.4134/JKMS.j170724

SINGULARITY ESTIMATES FOR ELLIPTIC SYSTEMS OF m-LAPLACIANS  

Li, Yayun (Institute of Mathematics School of Mathematical Sciences Nanjing Normal University)
Liu, Bei (School of Mathematical Sciences Nanjing Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.6, 2018 , pp. 1423-1433 More about this Journal
Abstract
This paper is concerned about several quasilinear elliptic systems with m-Laplacians. According to the Liouville theorems of those systems on ${\mathbb{R}}^n$, we obtain the singularity estimates of the positive $C^1$-weak solutions on bounded or unbounded domain (but it is not ${\mathbb{R}}^n$ and their decay rates on the exterior domain when ${\mid}x{\mid}{\rightarrow}{\infty}$. The doubling lemma which is developed by Polacik-Quittner-Souplet plays a key role in this paper. In addition, the corresponding results of several special examples are presented.
Keywords
elliptic system of m-Laplacian; doubling lemma; Liouville theorem; singularity estimate; decay rate;
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