{ "id": "math/0311321", "version": "v1", "published": "2003-11-19T09:15:14.000Z", "updated": "2003-11-19T09:15:14.000Z", "title": "Nonexistence of Bounded Energy Solutions for a Fourth Order Equation on Thin Annuli", "authors": [ "Mohamed Ben Ayed", "Khalil El Mehdi", "Mokhless Hammami" ], "comment": "27 pages", "categories": [ "math.AP" ], "abstract": "In this paper, we studu a biharmonic equation under the Navier boundary condition on thin annuli. We show that when the annulus becomes thin, the equation has no solution whose energy is bounded.", "revisions": [ { "version": "v1", "updated": "2003-11-19T09:15:14.000Z" } ], "analyses": { "subjects": [ "35J60", "35J65", "58E05" ], "keywords": [ "fourth order equation", "bounded energy solutions", "thin annuli", "nonexistence", "navier boundary condition" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....11321B" } } }