IJPAM: Volume 86, No. 1 (2013)
DIRICHLET PROBLEM FOR ELLIPTIC EQUATIONS
IN WEIGHTED SOBOLEV SPACES
IN WEIGHTED SOBOLEV SPACES
Serena Boccia1, Sara Monsurrò2, Maria Transirico3
1,2,3 Departement of Mathematics
University of Salerno
Via Giovanni Paolo II, 132 Fisciano (SA), I-84084, ITALY
1,2,3 Departement of Mathematics
University of Salerno
Via Giovanni Paolo II, 132 Fisciano (SA), I-84084, ITALY
Abstract. We study the Dirichlet problem for uniformly elliptic second order linear differential equations with discontinuous coefficients in an unbounded domain of Rn, n ≥ 2, in weighted Sobolev spaces. An a priori bound and an existence and uniqueness result are proved.
Received: May 29, 2013
AMS Subject Classification: 35J25, 35B45, 35R05
Key Words and Phrases: elliptic equations, discontinuous coefficients, a priori bounds, weighted Sobolev spaces
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DOI: 10.12732/ijpam.v86i1.14 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 1
