International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 582435, 12 pages
doi:10.1155/2008/582435

Elliptic equations in weighted Sobolev spaces on unbounded domains

Abstract

We study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝn, n≥3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.