International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 582435, 12 pages
Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
Dipartimento di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, 84084 Fisciano, Italy
Received 10 May 2008; Accepted 20 August 2008
Academic Editor: Manfred H. Moller
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.
We study in this paper a class of second-order
linear elliptic equations in weighted Sobolev spaces on unbounded
domains of , . We obtain an a priori bound, and a regularity
result from which we deduce a uniqueness theorem.