{ "id": "2211.14817", "version": "v1", "published": "2022-11-27T13:06:02.000Z", "updated": "2022-11-27T13:06:02.000Z", "title": "Principal curves to fractional $m$-Laplacian systems and related maximum and comparison principles", "authors": [ "Anderson Luis Albuquerque de Araujo", "Edir Junior Ferreira Leite", "Aldo Henrique de Souza Medeiros" ], "comment": "18 pages", "categories": [ "math.AP", "math.FA" ], "abstract": "In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinar systems involving fractional $m$-Laplacian operators.", "revisions": [ { "version": "v1", "updated": "2022-11-27T13:06:02.000Z" } ], "analyses": { "subjects": [ "35B50", "35B51", "93B60", "35J70", "35J92" ], "keywords": [ "comparison principles", "laplacian systems", "principal curves", "related maximum", "fractional" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }