Harnack inequality and smoothness for quasilinear degenerate elliptic equations

被引：20

作者：

Di Fazio, G. ^{[1
]}

Fanciullo, M. S. ^{[1
]}

Zamboni, P. ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 245卷 / 10期

关键词：

Harnack inequality; Muckenhoupt weights; Degenerate elliptic equations; Morrey classes;

D O I：

10.1016/j.jde.2008.04.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local and global regularity for the positive solutions of a quasilinear variational degenerate equation, assuming minimal hypothesis on the coefficients of the lower order terms. As an application we obtain Holder continuity for the gradient of solutions to nonvariational quasilinear equations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2939 / 2957

页数：19

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