{ "id": "0811.0946", "version": "v1", "published": "2008-11-06T13:46:45.000Z", "updated": "2008-11-06T13:46:45.000Z", "title": "Existence and uniqueness conditions of positive solutions to semilinear elliptic equations with double power nonlinearities", "authors": [ "Shinji Kawano" ], "categories": [ "math.AP" ], "abstract": "In this article we find the equivalent conditions to assure the existence and uniqueness of positive solutions to semilinear elliptic equations wih double power nonlinearities. As a bonus, we give a simpler proof of our former result that the uniqueness condition comes from the existence condition.", "revisions": [ { "version": "v1", "updated": "2008-11-06T13:46:45.000Z" } ], "analyses": { "subjects": [ "35B05" ], "keywords": [ "semilinear elliptic equations", "uniqueness condition", "positive solutions", "equations wih double power", "wih double power nonlinearities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.0946K" } } }