Boundary Value Problems
Volume 2006 (2006), Article ID 98923, 11 pages
doi:10.1155/BVP/2006/98923

Uniqueness results for elliptic problems with singular data

Abstract

We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set Ω 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.