Boundary Value Problems
Volume 2006 (2006), Article ID 98923, 11 pages
Uniqueness results for elliptic problems with singular data
Dipartimento di Matematica e Informatica, Facoltà di Scienze Matematiche, Fisiche e Naturali (MM. FF. NN.), Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano 84084, Italy
Received 22 December 2005; Revised 22 May 2006; Accepted 12 June 2006
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.
We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set without the cone property, and with data depending on appropriate weight
functions. The leading coefficients of the elliptic operator are VMO functions. The hypotheses on the other coefficients involve the weight function.