H. Nnang

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math.OC2019

Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting

Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang +1

The $Γ$ -limit of a family of functionals $u \mapsto \int_{Ω} f (\frac{x}{ε}, \frac{x}{ε ^{2}}, D^{s} u) d x$ is obtained for $s = 1, 2$ and when the integran…

math.OC2019

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

Joel Fotso Tachago, Hubert Nnang, Elvira Zappale

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…