IJPAM: Volume 57, No. 3 (2009)
A STRONG MAXIMUM PRINCIPLE FOR
LINEAR ELLIPTIC OPERATORS
LINEAR ELLIPTIC OPERATORS
Paola Cavaliere
, Maria Transirico
Department of Engineering of Information and Applied Mathematics
University of Salerno
Via Ponte Don Melillo, Fisciano (Salerno), I-84084, ITALY
e-mail: pcavaliere@unisa.it
Department of Mathematics and Informatics
University of Salerno
Via Ponte Don Melillo, Fisciano (Salerno), I-84084, ITALY
e-mail: mtransirico@unisa.it



University of Salerno
Via Ponte Don Melillo, Fisciano (Salerno), I-84084, ITALY
e-mail: pcavaliere@unisa.it

University of Salerno
Via Ponte Don Melillo, Fisciano (Salerno), I-84084, ITALY
e-mail: mtransirico@unisa.it
Abstract.This paper is concerned with a maximum principle for subsolutions, in the class
, of second order linear elliptic equations in non-divergence form in arbitrary open (bounded or not) subsets of
,
, when
.
The main coefficients are required to be just locally in
. A uniqueness result for the related homogenous Dirichlet problem is also obtained.
Received: October 4, 2006
AMS Subject Classification: 35J25, 35R05
Key Words and Phrases: elliptic operators, VMO-coefficients
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 3