Séminaires : Séminaire de Géométrie

Equipe(s) : gd,
Responsables :L. Hauswirth, P. Laurain, R. Souam, E. Toubiana
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Salle : 1013
Adresse :Sophie Germain
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Archive avant 2014

Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG

 

 


Orateur(s) Ari J. AIOLFI - UFRGS, Brésil,
Titre On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation
Date15/11/2021
Horaire11:00 à 12:30
Diffusion
RésumeGiven a C2,α exterior domain Ω ⊂ Rn , n ≥ 3, we prove the existence of foliations of an open set in Ω x R by solutions to the exterior Dirichlet problem for the minimal surface equation in Ω with zero boundary data. We show that this foliation has horizontal ends and is parametrized by the maximal angle that the Gauss map of the leaves in Rn+1 make with the positive vertical axis at ∂Ω. Moreover, we show that any leaf has a limit height at infinity which can be estimated by the geometry of the domain. Joint work with Jaime Ripoll (UFRGS/Brazil) and Daniel Bustos (Univ. del Tolima/Colombia).
Salle1013
AdresseSophie Germain
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