{ "id": "1906.09001", "version": "v1", "published": "2019-06-21T08:21:13.000Z", "updated": "2019-06-21T08:21:13.000Z", "title": "Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions", "authors": [ "István Faragó", "Dušan Repovš" ], "journal": "Nonlinear Anal. 188 (2019), 377-388", "doi": "10.1016/j.na.2019.06.013", "categories": [ "math.AP" ], "abstract": "We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle.", "revisions": [ { "version": "v1", "updated": "2019-06-21T08:21:13.000Z" } ], "analyses": { "subjects": [ "35J20", "35J60", "35J75" ], "keywords": [ "standing wave solutions", "nonlinear patterns", "unbalanced growth", "nonlinear eigenvalue problems", "generalized pucci-serrin maximum principle" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }