{ "id": "math/0611123", "version": "v2", "published": "2006-11-05T18:07:11.000Z", "updated": "2007-01-23T14:08:32.000Z", "title": "Boundary singularities of positive solutions of some nonlinear elliptic equations", "authors": [ "Marie-Francoise Bidaut-Veron", "Augusto Ponce", "Laurent Veron" ], "comment": "6 pages", "categories": [ "math.AP", "math.CA" ], "abstract": "We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a. Our results are based upon a priori estimates for solutions and existence or non existence and uniqueness results for solutions of some nonlinear elliptic equations on the half unit sphere.", "revisions": [ { "version": "v2", "updated": "2007-01-23T14:08:32.000Z" } ], "analyses": { "subjects": [ "35J60" ], "keywords": [ "nonlinear elliptic equations", "positive solution", "boundary singularities", "half unit sphere", "priori estimates" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11123B" } } }