Some existence results to the Dirichlet problem for the minimal hypersurface equation on non mean convex domains of a Riemannian manifold

We prove the existence of minimal hypersurfaces for the Dirichlet that extends a similar result of Jenkins and Serrin in Euclidean Space to Riemannian ambient manifolds

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Source https://hal.science/hal-00849090
Author Aiolfi, Ari, Ripoll, Jaime, Soret, Marc
Maintainer CCSD
Last Updated May 10, 2026, 04:53 (UTC)
Created May 10, 2026, 04:53 (UTC)
Identifier hal-00849090
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Mathématiques et Physique Théorique (LMPT) ; Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS)
creator Aiolfi, Ari
date 2013-06-07T00:00:00
harvest_object_id 6e2511b3-8b19-482e-a878-fa21c150b212
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-11-06T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1307.7884
set_spec type:UNDEFINED