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

In: Integral Methods in Science and Engineering

Author

Listed:
  • Joel Fotso Tachago

    (University of Bamenda, Faculty of Sciences, Department of Mathematics and Computer Sciences
    Universitá degli Studi di Salerno, Dipartimento di Ingegneria Industriale)

  • Hubert Nnang

    (University of Yaoundé I and École Normale Supérieure de Yaoundé)

  • Elvira Zappale

    (Universitá degli Studi di Salerno, Dipartimento di Ingegneria Industriale)

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.

Suggested Citation

  • Joel Fotso Tachago & Hubert Nnang & Elvira Zappale, 2019. "Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence," Springer Books, in: Christian Constanda & Paul Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 123-131, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-16077-7_10
    DOI: 10.1007/978-3-030-16077-7_10
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