{ "id": "1803.05680", "version": "v1", "published": "2018-03-15T10:39:07.000Z", "updated": "2018-03-15T10:39:07.000Z", "title": "Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential", "authors": [ "Nikolaos S. Papageorgiou", "Vicenţiu D. Rădulescu", "Dušan D. Repovš" ], "journal": "Ann. Acad. Sci. Fenn. 43:1 (2018), 483-508", "doi": "10.5186/aasfm.2018.4331", "categories": [ "math.AP" ], "abstract": "We consider a nonlinear Robin problems driven by the $p$-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical groups we prove existence and multiplicity theorems.", "revisions": [ { "version": "v1", "updated": "2018-03-15T10:39:07.000Z" } ], "analyses": { "subjects": [ "35J20", "35J60", "58E05" ], "keywords": [ "resonant robin problems driven", "laplacian plus", "indefinite potential", "nonlinear robin problems driven", "assume strong resonance" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }