{ "id": "2307.13564", "version": "v1", "published": "2023-07-25T15:16:45.000Z", "updated": "2023-07-25T15:16:45.000Z", "title": "Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term", "authors": [ "Giuseppina di Blasio", "Filomena Feo", "Gabriella Zecca" ], "categories": [ "math.AP" ], "abstract": "We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with coefficients of convection term belonging to some suitable Marcinkiewicz spaces. Some useful a priori estimates and regularity results are also derived.", "revisions": [ { "version": "v1", "updated": "2023-07-25T15:16:45.000Z" } ], "analyses": { "keywords": [ "anisotropic elliptic equations", "singular convection term", "uniqueness", "weak solutions", "suitable marcinkiewicz spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }