{ "id": "1309.5081", "version": "v2", "published": "2013-09-19T19:57:26.000Z", "updated": "2013-11-04T20:56:43.000Z", "title": "Energy estimates for a class of semilinear elliptic equations on half Euclidean balls", "authors": [ "Ying Guo", "Lei Zhang" ], "comment": "22 pages", "categories": [ "math.AP" ], "abstract": "For a class of semi-linear elliptic equations with critical Sobolev exponents and boundary conditions, we prove point-wise estimates for blowup solutions and energy estimates. A special case of this class of equations is a locally defined prescribing scalar curvature and mean curvature type equation.", "revisions": [ { "version": "v2", "updated": "2013-11-04T20:56:43.000Z" } ], "analyses": { "subjects": [ "35J15", "35J60" ], "keywords": [ "semilinear elliptic equations", "half euclidean balls", "energy estimates", "defined prescribing scalar curvature", "mean curvature type equation" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.5081G" } } }