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

Denis Serre (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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.

Mots clés: singular BVP; Hilbert metric

Domaines: Equations aux dérivées partielles [math.AP]

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