Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting

e Γ-limit of a family of functionals $F(u):) int_Omega∫f(x/arepsilon, ,x/{arepsilon^2},D^s u)dx$ 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.