Boundary Value Problems
Volume 2008 (2008), Article ID 901503, 13 pages
doi:10.1155/2008/901503

Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains

Abstract

This paper is concerned with the study of the Dirichlet problem for a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝn, n≥3. We state a regularity result and we can deduce an existence and uniqueness theorem.