A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503303045 |
| 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. |
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| ISSN: | 1085-3375 1687-0409 |