{ "id": "math/0411194", "version": "v1", "published": "2004-11-09T14:10:11.000Z", "updated": "2004-11-09T14:10:11.000Z", "title": "Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2", "authors": [ "Cristina Tarsi" ], "categories": [ "math.AP" ], "abstract": "We consider the following boundary value problem -\\Delta u= g(x,u) + f(x,u) x\\in \\Omega u=0 x\\in \\partial \\Omega where $g(x,-\\xi)=-g(x,\\xi)$ and $g$ has subcritical exponential growth in $\\mathbb{R} ^2$. Using the method developed by Bolle, we prove that this problem has infinitely many solutions under suitable conditions on the growth of $g(u)$ and $f(u)$.", "revisions": [ { "version": "v1", "updated": "2004-11-09T14:10:11.000Z" } ], "analyses": { "keywords": [ "subcritical exponential growth", "elliptic problems", "multiplicity", "perturbation", "boundary value problem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11194T" } } }