Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains.
- Resource Type
- Article
- Authors
- Boccia, Serena; Monsurrò, Sara; Transirico, Maria
- Source
- Boundary Value Problems. 2008, p1-13. 13p.
- Subject
- *DIRICHLET problem
*MATHEMATICAL optimization
*SOBOLEV spaces
*ELLIPTIC functions
*NUMERICAL analysis
*SCIENTIFIC method
- Language
- ISSN
- 1687-2762
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. [ABSTRACT FROM AUTHOR]