Abstract and Applied Analysis
Volume 2003 (2003), Issue 15, Pages 881-898
doi:10.1155/S1085337503303045
A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces
Barbara Bianconi
Dipartimento di Scienze Matematiche, Universitá Politecnica delle Marche, Via Brecce Bianche, Ancona 60122, Italy
Abstract
We give a new approach to study the lower semicontinuity properties of nonautonomous variational integrals whose energy densities satisfy general growth conditions. We apply the theory of Young measures and properties of Orlicz-Sobolev spaces to prove semicontinuity result.