Boundary Harnack Principle on Uniform Domains

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-22 DOI:10.1007/s11118-024-10154-4

Aobo Chen

引用次数: 0

Abstract

We present a proof of scale-invariant boundary Harnack principle for uniform domains when the underlying space satisfies a scale-invariant elliptic Harnack inequality. Our approach does not assume the underlying space to be geodesic. Additionally, the existence of Green functions is also not assumed beforehand and is ensured by a recent result from M. T. Barlow, Z.-Q. Chen and M. Murugan.

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均匀域上的边界哈纳克原理

我们提出了当底层空间满足尺度不变的椭圆哈纳克不等式时，均匀域的尺度不变边界哈纳克原理的证明。我们的方法不假定底层空间是测地线。此外，我们也不事先假定格林函数的存在，而是通过 M. T. Barlow、Z.-Q. Chen 和 M. Murugan 的最新成果来确保格林函数的存在。Chen 和 M. Murugan 的最新成果确保了格林函数的存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.