{ "id": "2006.02010", "version": "v1", "published": "2020-06-03T02:09:02.000Z", "updated": "2020-06-03T02:09:02.000Z", "title": "On critical elliptic problems with singular Trudinger-Moser nonlinearities", "authors": [ "Shiqiu Fu", "Kanishka Perera" ], "categories": [ "math.AP" ], "abstract": "We establish some existence results for a class of critical elliptic problems with singular exponential nonlinearities. We do not assume any global sign conditions on the nonlinearity, which makes our results new even in the nonsingular case.", "revisions": [ { "version": "v1", "updated": "2020-06-03T02:09:02.000Z" } ], "analyses": { "subjects": [ "35B33", "35J20", "35J60", "35J75" ], "keywords": [ "nonlinearity", "critical elliptic problems", "singular trudinger-moser nonlinearities", "singular exponential nonlinearities", "global sign conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }