IJPAM: Volume 86, No. 1 (2013)

DIRICHLET PROBLEM FOR ELLIPTIC EQUATIONS
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


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