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 |
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doaj-36c49448480a424f8ed6d7d899cbb0332020-11-24T22:40:41ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092003-01-0120031588189810.1155/S1085337503303045A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spacesBarbara Bianconi0Dipartimento di Scienze Matematiche, Universitá Politecnica delle Marche, Via Brecce Bianche, Ancona 60122, ItalyWe 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.http://dx.doi.org/10.1155/S1085337503303045 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Barbara Bianconi |
| spellingShingle |
Barbara Bianconi A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces Abstract and Applied Analysis |
| author_facet |
Barbara Bianconi |
| author_sort |
Barbara Bianconi |
| title |
A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces |
| title_short |
A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces |
| title_full |
A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces |
| title_fullStr |
A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces |
| title_full_unstemmed |
A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces |
| title_sort |
new proof of semicontinuity by young measures and an approximation theorem in orlicz-sobolev spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2003-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S1085337503303045 |
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AT barbarabianconi anewproofofsemicontinuitybyyoungmeasuresandanapproximationtheoreminorliczsobolevspaces AT barbarabianconi newproofofsemicontinuitybyyoungmeasuresandanapproximationtheoreminorliczsobolevspaces |
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