Published Paper

Inserted: 11 dec 2002
Last Updated: 12 jan 2004

Journal: Journal of Convex Analysis
Volume: 10
Number: 2
Pages: 325-350
Year: 2002

Abstract:

The $\Gamma$-limit of a family of functionals $$ u\mapsto \int_{{\Omega}f\left}({\frac{x}{\varepsilon}},{\frac{x}{{\varepsilon}^2}},Ds u\right)\, dx $$ is obtained for $s=1,2$ and when the integrand $f=f(x,y,v)$ is a continuous function, periodic in $x$ and $y$, and convex with respect to $v$. The $3$-scale limits of second order derivatives are cha