{ "id": "2302.02387", "version": "v1", "published": "2023-02-05T14:10:01.000Z", "updated": "2023-02-05T14:10:01.000Z", "title": "On the local everywhere Hölder continuity for weak solutions of a class of not convex vectorial problems of the Calculus of Variations", "authors": [ "Tiziano Granucci" ], "comment": "arXiv admin note: substantial text overlap with arXiv:2211.12859", "categories": [ "math.OC" ], "abstract": "In this paper we study the regularity of the local minima of integral functionals: in particular, not convexity (quasi-convexity, policonvexity or rank one convexity) hypothesis will be made on the density, neither structure hypothesis nor radial nor diagonal.", "revisions": [ { "version": "v1", "updated": "2023-02-05T14:10:01.000Z" } ], "analyses": { "subjects": [ "49N60", "35J50" ], "keywords": [ "convex vectorial problems", "weak solutions", "hölder continuity", "variations", "local minima" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }