A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces

Barbara Bianconi

Abstract and Applied Analysis, 2003, vol. 2003, 1-18

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:205193

DOI: 10.1155/S1085337503303045

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