{ "id": "2403.07211", "version": "v1", "published": "2024-03-11T23:37:02.000Z", "updated": "2024-03-11T23:37:02.000Z", "title": "Schauder-type estimates for fully nonlinear degenerate elliptic equations", "authors": [ "Thialita M. Nascimento" ], "categories": [ "math.AP" ], "abstract": "In this paper, we examine regularity estimates for solutions to fully nonlinear, degenerated elliptic equations, at interior vanishing source points. At these points, we obtain Schauder-type regularity estimates, which depend on the H\\\"older-like source-ellipticity vanishing rate.", "revisions": [ { "version": "v1", "updated": "2024-03-11T23:37:02.000Z" } ], "analyses": { "subjects": [ "35J47", "35J60", "35J70" ], "keywords": [ "fully nonlinear degenerate elliptic equations", "schauder-type estimates", "schauder-type regularity estimates", "interior vanishing source points", "degenerated elliptic equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }