{ "id": "1105.3701", "version": "v2", "published": "2011-05-18T18:18:12.000Z", "updated": "2011-11-23T08:22:08.000Z", "title": "A variational Analysis of the Toda System on Compact Surfaces", "authors": [ "Andrea Malchiodi", "David Ruiz" ], "comment": "pre-peer version, to appear in Comm. Pure Applied Math", "categories": [ "math.AP" ], "abstract": "In this paper we consider the Toda system of equations on a compact surface. We will give existence results by using variational methods in a non coercive case. A key tool in our analysis is a new Moser-Trudinger type inequality under suitable conditions on the center of mass and the scale of concentration of the two components u_1, u_2.", "revisions": [ { "version": "v2", "updated": "2011-11-23T08:22:08.000Z" } ], "analyses": { "keywords": [ "toda system", "compact surface", "variational analysis", "moser-trudinger type inequality", "non coercive case" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.3701M" } } }