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

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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Contributor : Denis Serre <>
Submitted on : Wednesday, February 1, 2017 - 4:42:27 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM

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  • HAL Id : ensl-01452212, version 1
  • ARXIV : 1702.00661

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Denis Serre. The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains. 2017. ⟨ensl-01452212⟩

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