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

Recommended by V. Lakshmikantham

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.