Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces
Résumé
We prove an integral representation theorem for local functionals with polynomial growth defined on Cheeger-Sobolev spaces. More precisely, we give a version of the well-known Buttazzo-Dal maso integral representation theorem in the framework of Cheeger-Sobolev spaces. The integral representation theorem is used to prove a relaxation theorem.
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INTEGRAL REPRESENTATION AND RELAXATION ON CHEEGER-SOBOLEV SPACES.pdf (457.15 Ko)
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