{ "id": "0905.3897", "version": "v2", "published": "2009-05-24T12:20:07.000Z", "updated": "2013-07-24T16:04:27.000Z", "title": "A $K$-theoretical invariant and bifurcation for a parameterized family of functionals", "authors": [ "Alessandro Portaluri" ], "comment": "7 pages. No figures. Latex2e", "journal": "J. Math. Anal. Appl. 377 (2011), no. 2, 762--770", "categories": [ "math.CA", "math.FA" ], "abstract": "For a family of functionals defined on a Hilbert manifold and smoothly depending on a compact finite dimensional manifold, we give a sufficient condition on the parameter space in such a way the family bifurcate from the trivial branch.", "revisions": [ { "version": "v2", "updated": "2013-07-24T16:04:27.000Z" } ], "analyses": { "subjects": [ "37G25", "55N15", "58E07" ], "keywords": [ "theoretical invariant", "parameterized family", "functionals", "bifurcation", "compact finite dimensional manifold" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0905.3897P" } } }