Opuscula Math. 41, no. 1 (2021), 113-143
https://doi.org/10.7494/OpMath.2021.41.1.113

Opuscula Mathematica

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

Joel Fotso Tachago
Hubert Nnang
Elvira Zappale

Abstract. 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.

Keywords: convex function, reiterated two-scale convergence, relaxation, Orlicz-Sobolev spaces.

Mathematics Subject Classification: 35B27, 35B40, 35J25, 46J10, 49J45.

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• Joel Fotso Tachago
• University of Bamenda, Higher Teacher's Training College, P.O. Box 39, Bambili, Cameroon
• Hubert Nnang
• University of Yaounde I, École Normale Supérieure de Yaoundé, P.O. Box 47, Yaoundé, Cameroon
• Elvira Zappale (corresponding author)
• https://orcid.org/0000-0001-7419-300X
• Dipartimento di Scienze di Base ed Applicate per l'Ingegneria, Sapienza - Università di Roma, Via Antonio Scarpa 16, 00161 Roma (RM), Italy
• Communicated by P.A. Cojuhari.
• Revised: 2021-01-08.
• Accepted: 2021-01-08.
• Published online: 2021-02-08.

Joel Fotso Tachago, Hubert Nnang, Elvira Zappale, Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands, Opuscula Math. 41, no. 1 (2021), 113-143, https://doi.org/10.7494/OpMath.2021.41.1.113

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