Open Access

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

Boundary Value Problems20072007:065825

DOI: 10.1155/2007/65825

Received: 24 January 2007

Accepted: 29 January 2007

Published: 5 April 2007


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.


Authors’ Affiliations

Dipartimento di Economia dei Sistemi Agro-Forestali, Università delgi Studi di Palermo
Dipartimento di Matematica e Informatica, Università delgi Studi di Catania


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© S. Bonafede and F. Nicolosi 2007

This article is published under license to BioMed Central Ltd. 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.