A Liouville theorem of degenerate elliptic equation and its application

2012/11/12 by Genggeng Huang, Huang, Genggeng
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1211.2520

arxiv created 2012/11/12 · arxiv updated 2012/11/13

Abstract

In this paper, we apply the moving plane method to some degenerate elliptic equations to get a Liouville type theorem. As an application, we derive the a priori bounds for positive solutions of some semi-linear degenerate elliptic equations.

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