{ "id": "2010.03264", "version": "v1", "published": "2020-10-07T08:35:41.000Z", "updated": "2020-10-07T08:35:41.000Z", "title": "Lavrentiev gap for some classes of generalized Orlicz functions", "authors": [ "Anna Kh. Balci", "Mikhail Surnachev" ], "categories": [ "math.AP" ], "abstract": "In the present paper we find optimal conditions separating the regular case from the one with Lavrentiev gap for the borderline case of double phase potencial and related general classes of integrands. We present new results on density of smooth functions.", "revisions": [ { "version": "v1", "updated": "2020-10-07T08:35:41.000Z" } ], "analyses": { "keywords": [ "generalized orlicz functions", "lavrentiev gap", "related general classes", "double phase potencial", "borderline case" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }