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  • Research Article
  • 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

  • Received: 24 January 2007
  • Accepted: 29 January 2007
  • Published:


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.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Generalize Solution
  • Functional Equation


Authors’ Affiliations

Dipartimento di Economia dei Sistemi Agro-Forestali, Università delgi Studi di Palermo, Viale delle Scienze, Palermo, 90128, Italy
Dipartimento di Matematica e Informatica, Università delgi Studi di Catania, Viale A. Doria 6, Catania, 95125, Italy


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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.