Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger–Sobolev spaces

Omar Anza Hafsa; Jean-Philippe Mandallena

doi:10.1016/j.bulsci.2017.09.002

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Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger–Sobolev spaces

Journal article

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Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger–Sobolev spaces

Omar Anza Hafsa and Jean-Philippe Mandallena

Bulletin des Sciences Mathématiques, Vol.142, pp.49-93

2018

DOI: https://doi.org/10.1016/j.bulsci.2017.09.002

Abstract

Cheeger-Sobolev space

Unbounded nonconvex integral

Ru-usc

General growth conditions

Integral representation

Relaxation

We study relaxation of nonconvex integrals of the calculus of variations in the setting of Cheeger–Sobolev spaces when the integrand does not have polynomial growth and can take infinite values.

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Title: Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger–Sobolev spaces
Creators - without role: Omar Anza Hafsa - Université de Nîmes
Jean-Philippe Mandallena - Université de Nîmes
Publication Details: Bulletin des Sciences Mathématiques, Vol.142, pp.49-93
Identifiers: 9939532809311
Academic Unit: Laboratoire de Mécanique et Génie Civil - LMGC
Language: English
Resource Type: Journal article
Local Fields: hal-01662240