Abstract
An integral representation result is obtained for the variational limit of the family of functionals \(\int _{\varOmega }f(\frac {x}{\varepsilon },D u)dx\), ε > 0, when the integrand f = f(x, v) is a Carathéodory function, periodic in x, convex in v and with nonstandard growth.
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Acknowledgements
The first and the third author acknowledge the support of the Programme ICTP-INdAM research in pairs 2018. Joel Fotso Tachago thanks Dipartimento di Ingegneria Industriale at University of Salerno for its hospitality. Elvira Zappale is a member of GNAMPA-INdAM, whose support is gratefully acknowledged. This paper was written during a research stay of Joel Fotso Tachago at University of Salerno sponsored by ICTP-INdAM.
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Tachago, J.F., Nnang, H., Zappale, E. (2019). Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16077-7_10
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DOI: https://doi.org/10.1007/978-3-030-16077-7_10
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