Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

• Autorzy: Tachago Joel Fotso , Nnang Hubert , Zappale Elvira

Identyfikatory

DOI

10.7494/OpMath.2021.41.1.113

• Języki publikacji: EN

Abstrakty

EN

Multiscale periodic homogenization is extended to an Orlicz-Sobolev setting. It is shown by the reiteraded periodic two-scale convergence method that the sequence of minimizers of a class of highly oscillatory minimizations problems involving convex functionals, converges to the minimizers of a homogenized problem with a suitable convex function.

Słowa kluczowe

EN

convex function; reiterated two-scale convergence; relaxation; Orlicz-Sobolev spaces

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 1
• Strony: 113--143
• Opis fizyczny: Bibliogr. 44 poz.

Twórcy

autor

Tachago Joel Fotso

• University of Bamenda Higher Teacher’s Training College P.O. Box 39, Bambili, Cameroon

autor

Nnang Hubert

• University of Yaounde I Ecole Normale Superieure de Yaounde, P.O. Box 47, Yaounde, Cameroon

autor

Zappale Elvira

• Dipartimento di Scienze di Base ed Applicate per l’Ingegneria Sapienza - Universita di Roma Via Antonio Scarpa, 16 00161 Roma (RM), Italy

• https://orcid.org/0000-+0001-7419-300X

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).