A Liouville theorem for high order degenerate elliptic equations

被引：8

作者：

Huang, Genggeng ^{[1
,2
]}

Li, Congming ^{[3
]}

机构：

[1] Shanghai Jiao Tong Univ, INS, Dept Math, Shanghai 200030, Peoples R China

[2] Shanghai Jiao Tong Univ, MOE LSC, Shanghai 200030, Peoples R China

[3] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 258卷 / 04期

基金：

美国国家科学基金会; 中国博士后科学基金;

关键词：

Degenerate elliptic; Moving plane; Divergence identity; ASYMPTOTIC SYMMETRY; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; CLASSIFICATION;

D O I：

10.1016/j.jde.2014.10.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the method of moving plane to the following high order degenerate elliptic equation, (-A)(p)u = u(alpha) in R-+(n+1), n >= 1, where the operator A = y partial derivative(2)(y) + a partial derivative(y) + Delta(x), a >= 1. We get a Liouville theorem for subcritical case and classify the solutions for the critical case. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1229 / 1251

页数：23

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