A BOUNDARY HARNACK PRINCIPLE IN TWISTED HOLDER DOMAINS

• 成果类型: Article
• 署名作者: BASS, RF; BURDZY, K
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2944347
• 发表日期: 1991
• 页码: 253-276
• 关键词: tangentially accessible domains; nonnegative solutions; INEQUALITY; BEHAVIOR

摘要

The boundary Harnack principle for the ratio of positive harmonic functions is shown to hold in twisted Holder domains of order alpha for alpha element-of (1/2, 1]. For each alpha-element-of (0, 1/2), there exists a twisted Holder domain of order alpha for which the boundary Harnack principle fails. Extensions are given to L-harmonic functions for uniformly elliptic operators L in divergence form.