{ "id": "2008.03754", "version": "v1", "published": "2020-08-09T16:01:12.000Z", "updated": "2020-08-09T16:01:12.000Z", "title": "Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term", "authors": [ "Gianpaolo Piscitelli" ], "comment": "16 pages", "journal": "Rend. Acc. Sc. fi s. mat. Napoli Vol. LXXXI, (2014) 2 pp. 249-264", "categories": [ "math.AP" ], "abstract": "We use \"generalized\" version of total variation, coarea formulas, isoperimetric inequalities to obtain sharp estimates for solutions (and for their gradients) to anisotropic elliptic equations with a lower order term, comparing them with the solutions to the convex symmetrized ones.", "revisions": [ { "version": "v1", "updated": "2020-08-09T16:01:12.000Z" } ], "analyses": { "keywords": [ "lower order term", "anisotropic elliptic equations", "convex symmetrization", "total variation", "coarea formulas" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }