{ "id": "math/0211342", "version": "v1", "published": "2002-11-21T14:39:59.000Z", "updated": "2002-11-21T14:39:59.000Z", "title": "Bifurcation results for semilinear elliptic problems in R^N", "authors": [ "Marino Badiale", "Alessio Pomponio" ], "comment": "25 pages", "categories": [ "math.AP" ], "abstract": "In this paper we obtain, for a semilinear elliptic problem in R^N, families of solutions bifurcating from the bottom of the spectrum of $-\\Delta$. The problem is variational in nature and we apply a nonlinear reduction method which allows us to search for solutions as critical points of suitable functionals defined on finite-dimensional manifolds.", "revisions": [ { "version": "v1", "updated": "2002-11-21T14:39:59.000Z" } ], "analyses": { "keywords": [ "semilinear elliptic problem", "bifurcation results", "nonlinear reduction method", "finite-dimensional manifolds", "critical points" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....11342B" } } }