Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 76215, 14 pages

Bounds for elliptic operators in weighted spaces

Loredana Caso

Dipartimento di Matematica e Informatica, Facoltà di Scienze MM.FF.NN., Università di Salerno, Via Ponte don Melillo, Fisciano 84084, SA, Italy

Received 24 November 2004; Accepted 28 September 2005

Copyright © 2006 Loredana Caso. 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.


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.