IJPAM: Volume 83, No. 3 (2013)

A W2,p-ESTIMATE FOR
A CLASS OF ELLIPTIC OPERATORS

Sara Monsurrò1, Maria Transirico2
1,2Departement of Mathematics
University of Salerno
via Ponte Don Melillo, Fisciano (SA), I-84084, ITALY


Abstract. We prove a W2,p-a priori bound, p>1, for a class of uniformly elliptic second order differential operators with discontinuous coefficients in unbounded domains. As an application we obtain the solvability of the related Dirichlet problem.

Received: November 8, 2012

AMS Subject Classification: 35J25, 35B45, 35R05

Key Words and Phrases: elliptic equations, discontinuous coefficients, a priori bounds

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DOI: 10.12732/ijpam.v83i3.9 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: 83
Issue: 3