{ "id": "1712.01135", "version": "v1", "published": "2017-12-04T15:04:57.000Z", "updated": "2017-12-04T15:04:57.000Z", "title": "Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism", "authors": [ "Anouar Bahrouni", "Dušan Repovš" ], "journal": "Complex Var. Elliptic Equ. 63:2 (2018), 292-301", "doi": "10.1080/17476933.2017.1304390", "categories": [ "math.AP" ], "abstract": "In this paper, we study the existence and the nonexistence of solutions for a new class of $p(x)-$curl systems arising in electromagnetism. This work generalizes some results obtained in the $p-$curl case. There seems to be no results on the nonexistence of solutions for curl systems with variable exponent.", "revisions": [ { "version": "v1", "updated": "2017-12-04T15:04:57.000Z" } ], "analyses": { "subjects": [ "35J60", "35J91", "58E30" ], "keywords": [ "nonexistence", "electromagnetism", "work generalizes", "curl case", "curl systems arising" ], "tags": [ "journal article" ], "publication": { "publisher": "Taylor-Francis" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }