{ "id": "2102.08723", "version": "v1", "published": "2021-02-17T12:31:45.000Z", "updated": "2021-02-17T12:31:45.000Z", "title": "Asymptotic expansion at infinity of solutions of Monge-Ampère type equations", "authors": [ "Zixiao Liu", "Jiguang Bao" ], "categories": [ "math.AP" ], "abstract": "We obtain a quantitative expansion at infinity of solutions for a kind of Monge-Amp\\`ere type equations that origin from mean curvature equations of Lagrangian graph $(x,Du(x))$ and refine the previous study on zero mean curvature equations and the Monge-Amp\\`ere equations.", "revisions": [ { "version": "v1", "updated": "2021-02-17T12:31:45.000Z" } ], "analyses": { "subjects": [ "35J60", "35B40" ], "keywords": [ "monge-ampère type equations", "asymptotic expansion", "zero mean curvature equations", "lagrangian graph" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }