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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Mots-clés : Elliptic PDEs, convex domain, Hilbert metric, singular BVP
Denis Serre 1
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@article{CML_2017__9_1_105_0,
author = {Denis Serre},
title = {The role of the {Hilbert} metric in a class of singular elliptic boundary value problems in convex domains},
journal = {Confluentes Mathematici},
pages = {105--117},
publisher = {Institut Camille Jordan},
volume = {9},
number = {1},
year = {2017},
doi = {10.5802/cml.38},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.5802/cml.38/}
}
TY - JOUR AU - Denis Serre TI - The role of the Hilbert metric in a class of singular elliptic boundary value problems in convex domains JO - Confluentes Mathematici PY - 2017 SP - 105 EP - 117 VL - 9 IS - 1 PB - Institut Camille Jordan UR - https://cml.centre-mersenne.org/articles/10.5802/cml.38/ DO - 10.5802/cml.38 LA - en ID - CML_2017__9_1_105_0 ER -
%0 Journal Article %A Denis Serre %T The role of the Hilbert metric in a class of singular elliptic boundary value problems in convex domains %J Confluentes Mathematici %D 2017 %P 105-117 %V 9 %N 1 %I Institut Camille Jordan %U https://cml.centre-mersenne.org/articles/10.5802/cml.38/ %R 10.5802/cml.38 %G en %F CML_2017__9_1_105_0
Denis Serre. The role of the Hilbert metric in a class of singular elliptic boundary value problems in convex domains. Confluentes Mathematici, Volume 9 (2017) no. 1, pp. 105-117. doi : 10.5802/cml.38. https://cml.centre-mersenne.org/articles/10.5802/cml.38/
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