{ "id": "2210.00680", "version": "v1", "published": "2022-10-03T01:58:51.000Z", "updated": "2022-10-03T01:58:51.000Z", "title": "On the Brezis-Nirenberg problem for the $(p,q)$-Laplacian", "authors": [ "Ky Ho", "Kanishka Perera", "Inbo Sim" ], "comment": "17 pages", "categories": [ "math.AP" ], "abstract": "We prove some existence and nonexistence results for a class of critical $(p,q)$-Laplacian problems in a bounded domain. Our results extend and complement those in the literature for model cases.", "revisions": [ { "version": "v1", "updated": "2022-10-03T01:58:51.000Z" } ], "analyses": { "subjects": [ "35J92", "35B33" ], "keywords": [ "brezis-nirenberg problem", "model cases", "results extend", "nonexistence results" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }