{ "id": "2002.03377", "version": "v1", "published": "2020-02-09T14:40:18.000Z", "updated": "2020-02-09T14:40:18.000Z", "title": "Segre's Theorem. An analytic proof of a result in differential geometry", "authors": [ "Karl K. Brustad" ], "categories": [ "math.AP", "math.DG" ], "abstract": "We present an analytic approach on how to solve the problem $|\\nabla u|=f(u)$, $\\Delta u = g(u)$, in connected domains $\\Omega\\subseteq\\mathbb{R}^n$.", "revisions": [ { "version": "v1", "updated": "2020-02-09T14:40:18.000Z" } ], "analyses": { "keywords": [ "analytic proof", "segres theorem", "differential geometry" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }