{ "id": "1911.07396", "version": "v1", "published": "2019-11-18T01:36:25.000Z", "updated": "2019-11-18T01:36:25.000Z", "title": "Liouville Type Theorems for Minimal Surface Equations in Half Space", "authors": [ "Guosheng Jiang", "Zhehui Wang", "Jintian Zhu" ], "comment": "16 pages", "categories": [ "math.AP", "math.DG" ], "abstract": "For $n\\geq2,$ we obtain Liouville type theorems for minimal surface equations in half space $\\mathbf R^n_+$ with affine Dirichlet boundary value or constant Neumann boundary value.", "revisions": [ { "version": "v1", "updated": "2019-11-18T01:36:25.000Z" } ], "analyses": { "subjects": [ "35J15", "35J62", "35J93" ], "keywords": [ "minimal surface equations", "liouville type theorems", "half space", "constant neumann boundary value", "affine dirichlet boundary value" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }