Boundary Value Problems
Volume 2007 (2007), Article ID 65825, 15 pages
doi:10.1155/2007/65825
Research Article

On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data

S. Bonafede1 and F. Nicolosi2

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.

Abstract

We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω⊂ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.