IJPAM: Volume 62, No. 2 (2010)
PROPERTIES OF WEAK SOLUTIONS OF
AN ELLIPTIC PROBLEM IN WEIGHTED SPACES
AN ELLIPTIC PROBLEM IN WEIGHTED SPACES
Loredana Caso
Department of Mathematics and Computer Science
University of Salerno
Via Ponte Don Melillo, Fisciano (SA), 84084, ITALY
e-mail: lorcaso@unisa.it
Department of Mathematics and Computer Science
University of Salerno
Via Ponte Don Melillo, Fisciano (SA), 84084, ITALY
e-mail: lorcaso@unisa.it
Abstract.This paper is concerned with the Dirichlet problem for second order elliptic operators in divergence form with singular coefficients in weighted Sobolev spaces. The leading coefficients are VMO functions. The hypotheses on the other coefficients involve the weight function.
Received: March 31, 2010
AMS Subject Classification: 35J25, 35R05, 46E35
Key Words and Phrases: elliptic equations, VMO-coefficients, weighted spaces
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 2