Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence

Joel Fotso Tachago, Hubert Nnang () and Elvira Zappale ()
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Joel Fotso Tachago: University of Bamenda, Faculty of Sciences, Department of Mathematics and Computer Sciences
Hubert Nnang: University of Yaoundé I and École Normale Supérieure de Yaoundé
Elvira Zappale: Universitá degli Studi di Salerno, Dipartimento di Ingegneria Industriale

Chapter Chapter 10 in Integral Methods in Science and Engineering, 2019, pp 123-131 from Springer

Abstract: Abstract An integral representation result is obtained for the variational limit of the family of functionals ∫ Ω f ( x ε , D u ) d x $$\int _{\varOmega }f(\frac {x}{\varepsilon },D u)dx$$ , ε > 0, when the integrand f = f(x, v) is a Carathéodory function, periodic in x, convex in v and with nonstandard growth.

Date: 2019
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DOI: 10.1007/978-3-030-16077-7_10

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