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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

Abstract

Summary: 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.