Open Access Research Article

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

S Bonafede1* and F Nicolosi2

Author Affiliations

1 Dipartimento di Economia dei Sistemi Agro-Forestali, Università delgi Studi di Palermo, Viale delle Scienze, Palermo 90128, Italy

2 Dipartimento di Matematica e Informatica, Università delgi Studi di Catania, Viale A. Doria 6, Catania 95125, Italy

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Boundary Value Problems 2007, 2007:065825  doi:10.1155/2007/65825

The electronic version of this article is the complete one and can be found online at:

Received:24 January 2007
Accepted:29 January 2007
Published:5 April 2007

© 2007 Bonafede and 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.


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