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

  • Joel Fotso Tachago
  • Hubert Nnang
  • Elvira ZappaleEmail author
Chapter

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.

Notes

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Joel Fotso Tachago
    • 1
    • 2
  • Hubert Nnang
    • 3
  • Elvira Zappale
    • 4
    Email author
  1. 1.Faculty of Sciences, Department of Mathematics and Computer SciencesUniversity of BamendaBambiliCameroon
  2. 2.Dipartimento di Ingegneria IndustrialeUniversitá degli Studi di SalernoFiscianoItaly
  3. 3.University of Yaoundé I and École Normale Supérieure de YaoundéYaoundeCameroon
  4. 4.Dipartimento di Ingegneria IndustrialeUniversitá degli Studi di SalernoFiscianoItaly

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