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Reiterated Homogenization of nonlinear degenerate elliptic operators with nonstandard growth (2110.02882v4)
Published 6 Oct 2021 in math.AP
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.