An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions

被引：0

作者：

Bhattacharya, Tilak ^{[1
]}

机构：

[1] Indian Stat Inst, New Delhi 110016, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

Viscosity solutions; Harnack inequality; infinite harmonic operator; distance function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an elementary proof of the Harnack inequality for nonnegative viscosity supersolutions of Delta(infinity)u = 0. This was originally proven by Lindqvist and Manfredi using sequences of solutions of the p-Laplacian. We work directly with the Delta(infinity) operator using the distance function as a test function. We also provide simple proofs of the Liouville property, Hopf boundary point lemma and Lipschitz continuity.

引用

页数：8

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