The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains

Q4 Mathematics

Confluentes Mathematici Pub Date : 2017-02-01 DOI:10.5802/CML.38

D. Serre

引用次数: 0

Abstract

In a recent paper [7], we were led to consider a distance over a bounded open convex domain. It turns out to be the so-called Thompson metric, which is equivalent to the Hilbert metric. It plays a key role in the analysis of existence and uniqueness of solutions to a class of elliptic boundary-value problems that are singular at the boundary.

查看原文本刊更多论文

研究了一类凸域奇异椭圆边值问题中Hilbert度规的作用

在最近的一篇论文[7]中，我们被引导考虑有界开凸域上的距离。它就是所谓的汤普森度规，它和希尔伯特度规是等价的。对于一类在边界处奇异的椭圆型边值问题解的存在唯一性分析起着关键的作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.