The Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains of the plane
- Resource Type
- research-article
- Authors
- Boccia, Serena; Salvato, Maria; Transirico, Maria
- Source
- Mathematica Slovaca. 63(6):1321-1332
- Subject
- Primary 35J25, 35B45, 35R05
elliptic equations
discontinuous coefficients
weighted spaces
- Language
- English
- ISSN
- 1337-2211
0139-9918
This paper deals with the Dirichlet problem for second order linear elliptic equations in unbounded domains of the plane in weighted Sobolev spaces. We prove an a priori bound and an existence and uniqueness result.