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Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 76215, 14 pages
doi:10.1155/JIA/2006/76215

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

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.