Boundary Value Problems (Oct 2008)
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 â„Ân, n≥3. We state a regularity result and we can deduce an existence and uniqueness theorem.