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

Recommended by Kanishka Perera

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.