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arXiv · 1702.00661

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

Denis Serre
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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.

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Denis Serre. 2017-02-02. The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains. https://arxiv.org/abs/1702.00661

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