{ "id": "2203.13439", "version": "v1", "published": "2022-03-25T04:00:08.000Z", "updated": "2022-03-25T04:00:08.000Z", "title": "On removable singularities for solutions of Neumann problem for elliptic equations involving variable exponent", "authors": [ "Juan Alcon Apaza" ], "categories": [ "math.AP", "math.FA" ], "abstract": "We study the removability of a singular set in the boundary of Neumann problem for elliptic equations with variable exponent. We consider the case when the singular set has a smooth structure, and give sufficient conditions for removability of this singularity for the equation in the variable exponent Sobolev space.", "revisions": [ { "version": "v1", "updated": "2022-03-25T04:00:08.000Z" } ], "analyses": { "subjects": [ "35A21", "35D30", "35J57", "35J60" ], "keywords": [ "neumann problem", "elliptic equations", "removable singularities", "singularity", "singular set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }