Open Access

Bounds for elliptic operators in weighted spaces

Journal of Inequalities and Applications20062006:76215

https://doi.org/10.1155/JIA/2006/76215

Received: 24 November 2004

Accepted: 28 September 2005

Published: 31 May 2006

Abstract

Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.

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Authors’ Affiliations

(1)
Dipartimento di Matematica e Informatica, Facoltà di Scienze MM.FF.NN., Università di Salerno

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Copyright

© Loredana Caso 2006

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.