An integral representation result is obtained for the variational limit of the family of functionals $int_ Omega f(x/arepsilon,Du)dx, arepsilon > 0$, when the integrand $f = f(x, v)$ is a Carathéodory function, periodic in $x$, convex in $v$ and with nonstandard growth.
Relaxation of periodic and nonstandard growth integrals by means of two-scale convergence / Fotso Tachago, Joel; Nnang, Hubert; Zappale, Elvira. - 48:(2019), pp. 123-132. (Intervento presentato al convegno IMSE 2018 tenutosi a Brighton) [10.1007/978-3-030-16077-7].
Relaxation of periodic and nonstandard growth integrals by means of two-scale convergence
Elvira Zappale
2019
Abstract
An integral representation result is obtained for the variational limit of the family of functionals $int_ Omega f(x/arepsilon,Du)dx, arepsilon > 0$, when the integrand $f = f(x, v)$ is a Carathéodory function, periodic in $x$, convex in $v$ and with nonstandard growth.File allegati a questo prodotto
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