Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains.
- Resource Type
- Article
- Authors
- Boccia, Serena; Monsurrò, Sara; Transirico, Maria
- Source
- International Journal of Mathematics & Mathematical Sciences. 2008, p1-12. 12p.
- Subject
- *ELLIPTIC differential equations
*SOBOLEV spaces
*A priori
*INTEGRAL theorems
*NUMERICAL analysis
*MATHEMATICS
*FUNCTION spaces
- Language
- ISSN
- 0161-1712
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. [ABSTRACT FROM AUTHOR]