{ "id": "1212.0516", "version": "v2", "published": "2012-12-03T20:11:37.000Z", "updated": "2013-09-16T08:42:18.000Z", "title": "Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace", "authors": [ "A. Farina", "N. Soave" ], "journal": "Journal of Mathematical Analysis and Applications, 403 (2013), 215--233", "doi": "10.1016/j.jmaa.2013.02.048", "categories": [ "math.AP" ], "abstract": "We derive some 1-D symmetry and uniqueness or non-existence results for nonnegative solutions of some elliptic system in the halfspace $\\R^N_+$ in low dimension. Our method is based upon a combination of Fourier series and Liouville theorems.", "revisions": [ { "version": "v2", "updated": "2013-09-16T08:42:18.000Z" } ], "analyses": { "subjects": [ "35B06", "35J25" ], "keywords": [ "nonnegative solutions", "uniqueness", "elliptic system", "liouville theorems", "low dimension" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.0516F" } } }