{ "id": "0806.0498", "version": "v1", "published": "2008-06-03T11:25:59.000Z", "updated": "2008-06-03T11:25:59.000Z", "title": "The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface", "authors": [ "L. Mazet", "M. M. Rodriguez", "H. Rosenberg" ], "comment": "60 pages, 15 figures", "doi": "10.1112/plms/pdq032", "categories": [ "math.DG", "math.AP" ], "abstract": "In this paper, we study existence and uniqueness of solutions to Jenkins-Serrin type problems on domains in a Riemannian surface. In the case of unbounded domains, the study is focused on the hyperbolic plane.", "revisions": [ { "version": "v1", "updated": "2008-06-03T11:25:59.000Z" } ], "analyses": { "subjects": [ "53A10" ], "keywords": [ "minimal surface equation", "riemannian surface", "infinite boundary", "dirichlet problem", "jenkins-serrin type problems" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 60, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0806.0498M" } } }