The Γ-limit of a family of functionals (Formula Presented) is obtained for s = 1, 2 and when the integrand f = f (y, z, v) is a continous function, periodic in y and z and convex with respect to v with nonstandard growth. The reiterated two-scale limits of second order derivatives are characterized in this setting.
Multiscale homogenization of integral convex fucntionals in orlicz sobolev setting
Gargiulo G.;
2021-01-01
Abstract
The Γ-limit of a family of functionals (Formula Presented) is obtained for s = 1, 2 and when the integrand f = f (y, z, v) is a continous function, periodic in y and z and convex with respect to v with nonstandard growth. The reiterated two-scale limits of second order derivatives are characterized in this setting.File in questo prodotto:
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