{ "id": "1008.4614", "version": "v1", "published": "2010-08-26T22:45:04.000Z", "updated": "2010-08-26T22:45:04.000Z", "title": "Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations", "authors": [ "Haiyan Wang" ], "categories": [ "math.AP", "math.CA" ], "abstract": "The existence, multiplicity and nonexistence of nontrivial radial convex solutions of a system of two weakly coupled Monge-Ampere equations are established with asymptotic assumptions for an appropriately chosen parameter. The proof of the results is based on Krasnoselskii's fixed point theorem in a cone.", "revisions": [ { "version": "v1", "updated": "2010-08-26T22:45:04.000Z" } ], "analyses": { "subjects": [ "35J96", "34B15" ], "keywords": [ "boundary value problems", "nontrivial radial convex solutions", "krasnoselskiis fixed point theorem", "weakly coupled monge-ampere equations", "asymptotic assumptions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1008.4614W" } } }