Reiterated Homogenization of nonlinear degenerate elliptic operators with nonstandard growth

Joel Fotso Tachago; Hubert Nnang; Elvira Zappale

Reiterated Homogenization of nonlinear degenerate elliptic operators with nonstandard growth

Analysis of PDEs 2023-02-20 v4

Authors: Joel Fotso Tachago , Hubert Nnang , Elvira Zappale

Abstract

It is shown by means of reiterated two-scale convergence in the Sobolev-Orlicz setting, that the sequence of solutions of a class of highly oscillatory problems involving nonlinear elliptic operators with nonstandard growth, converges to a solution of a suitable homogeneous nonlinear elliptic equation associated to an operator with nonstandard growth.

Keywords

reiterated homogenization nonlinear degenerate elliptic operators nonstandard growth two-scale convergence Sobolev-Orlicz spaces homogenized equation

Cite

@article{arxiv.2110.02882,
  title  = {Reiterated Homogenization of nonlinear degenerate elliptic operators with nonstandard growth},
  author = {Joel Fotso Tachago and Hubert Nnang and Elvira Zappale},
  journal= {arXiv preprint arXiv:2110.02882},
  year   = {2023}
}

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