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Lower semicontinuous envelopes in W 1 , 1 × L p

Ana Margarida RibeiroElvira Zappale — 2014

Banach Center Publications

The lower semicontinuity of functionals of the type Ω f ( x , u , v , u ) d x with respect to the ( W 1 , 1 × L p ) -weak* topology is studied. Moreover, in absence of lower semicontinuity, an integral representation in W 1 , 1 × L p for the lower semicontinuous envelope is also provided.

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