{ "id": "1503.09056", "version": "v1", "published": "2015-03-31T14:24:08.000Z", "updated": "2015-03-31T14:24:08.000Z", "title": "Infinitely many sign-changing solutions for a class of elliptic problem with exponential critical growth", "authors": [ "Denilson Pereira" ], "categories": [ "math.AP" ], "abstract": "In this work we prove the existence of infinitely many nonradial solutions that change signal to the problem $-\\Delta u=f(u)$ in $B$ with $u=0$ on $\\partial B$, where $B$ is the unit ball in $\\mathbb{R}^2$ and $f$ is a continuous and odd function with exponential critical growth.", "revisions": [ { "version": "v1", "updated": "2015-03-31T14:24:08.000Z" } ], "analyses": { "subjects": [ "35A15", "35J15" ], "keywords": [ "exponential critical growth", "elliptic problem", "sign-changing solutions", "nonradial solutions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }