{ "id": "1810.06050", "version": "v1", "published": "2018-10-14T16:08:58.000Z", "updated": "2018-10-14T16:08:58.000Z", "title": "On the regularity of the $ω$-minima of $\\varphi$-functionals", "authors": [ "Cristiana De Filippis" ], "categories": [ "math.AP" ], "abstract": "We focus on some regularity properties of $\\omega$-minima of variational integrals with $\\varphi$-growth and we provide an upper bound on the Hausdorff dimension of their singular set.", "revisions": [ { "version": "v1", "updated": "2018-10-14T16:08:58.000Z" } ], "analyses": { "keywords": [ "functionals", "regularity properties", "variational integrals", "upper bound" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }