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Pré-Publication, Document De Travail Année : 2021

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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Dates et versions

hal-03270938 , version 1 (25-06-2021)
hal-03270938 , version 2 (05-07-2021)

Identifiants

  • HAL Id : hal-03270938 , version 1

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Omar Anza Hafsa, Jean-Philippe Mandallena. Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces. 2021. ⟨hal-03270938v1⟩
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