THE BOUNDARY HARNACK PRINCIPLE FO NON-DIVERGENCE FROM ELLIPTIC-OPERATORS

被引：27

作者：

BASS, RF

BURDZY, K

机构：

[1] Department of Mathematics, University of Washington, Washington, 98195, Seattle

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1994年 / 50卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/jlms/50.1.157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If L is a uniformly elliptic operator in non-divergence form, the boundary Harnack principle for the ratio of positive L-harmonic functions holds in Holder domains of order alpha if alpha > 1/2. A counterexample shows that 1/2 is sharp. For Holder domains of order alpha with alpha is-an-element-of (0,1], the boundary Harnack principle holds provided the domain also satisfies a strong uniform regularity condition.

引用

页码：157 / 169

页数：13

共 13 条

[1]

ANCONA A, 1978, ANN I FOURIER GRENOB, V28, P169, DOI 10.5802/aif.720

[2] HOLDER DOMAINS AND THE BOUNDARY HARNACK PRINCIPLE [J].