Reiterated Homogenization of nonlinear degenerate elliptic operators with nonstandard growth
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 equati...
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2110.02882 |