Boundary Value Problems
Volume 2007 (2007), Article ID 65825, 15 pages
On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with Data
1Dipartimento di Economia dei Sistemi Agro-Forestali, Università delgi Studi di Palermo, Viale delle Scienze, Palermo 90128, Italy
2Dipartimento di Matematica e Informatica, Università delgi Studi di Catania, Viale A. Doria 6, Catania 95125, Italy
Received 24 January 2007; Accepted 29 January 2007
Academic Editor: V. Lakshmikantham
Copyright © 2007 S. Bonafede and F. Nicolosi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We establish Hölder continuity of generalized solutions of the
Dirichlet problem, associated to a degenerate nonlinear fourth-order
equation in an open bounded set , with data, on the subsets of where the behavior of weights and of the data is regular enough.