{ "id": "0806.0955", "version": "v2", "published": "2008-06-05T12:55:51.000Z", "updated": "2008-11-21T16:20:26.000Z", "title": "Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations", "authors": [ "Louis Jeanjean", "Marco Squassina" ], "comment": "to appear in Ann. Inst. H. Poincare Anal. Non Lineaire", "categories": [ "math.AP" ], "abstract": "For a general class of autonomous quasi-linear elliptic equations on R^n we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in R^n.", "revisions": [ { "version": "v2", "updated": "2008-11-21T16:20:26.000Z" } ], "analyses": { "subjects": [ "35J40", "58E05" ], "keywords": [ "energy solution", "autonomous quasi-linear elliptic equations", "general class", "change sign", "radially symmetric" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009AnIHP..26.1701J" } } }