Boundary Value Problems
Volume 2008 (2008), Article ID 901503, 13 pages
Research Article

Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains

Serena Boccia, Sara Monsurrò, and Maria Transirico

Dipartimento di Matematica e Informatica, Università di Salerno, via Ponte Don Melillo, 84084 Fisciano, Salerno, Italy

Received 2 March 2008; Accepted 14 August 2008

Academic Editor: Kanishka Perera

Copyright © 2008 Serena Boccia et al. 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.


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 n, n3. We state a regularity result and we can deduce an existence and uniqueness theorem.