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arXiv · 1811.12501

Relaxation of Periodic and Nonstandard Growth Integrals by means of Two-scale convergence

Joel Fotso Tachago·Hubert Nnang·Elvira Zappale
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Abstract

An integral representation result is obtained for the variational limit of the family functionals $\int_{\Omega}f\left(\frac{x}{\varepsilon}, Du\right)dx$, as $\varepsilon \to 0$, when the integrand $f = f (x,v)$ is a Carath\'eodory function, periodic in $x$, convex in $v$ and with nonstandard growth.

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Joel Fotso Tachago, Hubert Nnang, Elvira Zappale. 2018-11-29. Relaxation of Periodic and Nonstandard Growth Integrals by means of Two-scale convergence. https://arxiv.org/abs/1811.12501

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