{ "id": "2306.12530", "version": "v1", "published": "2023-06-21T19:25:50.000Z", "updated": "2023-06-21T19:25:50.000Z", "title": "Lipschitz approximation for general almost area minimizing currents", "authors": [ "Reinaldo Resende" ], "categories": [ "math.AP" ], "abstract": "We prove a Lipschitz approximation with superlinear error terms for integral currents $\\omega$-minimizing the area functional, where $\\omega$ is a modulus of continuity. We also present an almost monotonicity result for the density of these general almost area minimzing currents.", "revisions": [ { "version": "v1", "updated": "2023-06-21T19:25:50.000Z" } ], "analyses": { "keywords": [ "area minimizing currents", "lipschitz approximation", "superlinear error terms", "monotonicity result", "area minimzing currents" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }