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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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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01452212
Contributor : Denis Serre Connect in order to contact the contributor
Submitted on : Wednesday, February 1, 2017 - 4:42:27 PM
Last modification on : Tuesday, November 19, 2019 - 12:13:52 PM

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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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