1. Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands
- Author
-
Joel Fotso Tachago, Elvira Zappale, and Hubert Nnang
- Subjects
convex function ,orlicz-sobolev spaces ,Sequence ,Class (set theory) ,lcsh:T57-57.97 ,General Mathematics ,homogenization ,Regular polygon ,reiterated two-scale convergence ,Homogenization (chemistry) ,Convexity ,Sobolev-Orlicz Spaces ,relaxation ,Optimization and Control (math.OC) ,lcsh:Applied mathematics. Quantitative methods ,Convergence (routing) ,FOS: Mathematics ,Convexity, homogenization, reiterated two-scale convergence, Sobolev-Orlicz Spaces ,Applied mathematics ,35B27, 35B40, 35J25, 46J10 ,Convex function ,Mathematics - Optimization and Control ,Mathematics - Abstract
Multiscale periodic homogenization is extended to an Orlicz-Sobolev setting. It is shown by the reiteraded periodic two-scale convergence method that the sequence of minimizers of a class of highly oscillatory minimizations problems involving convex functionals, converges to the minimizers of a homogenized problem with a suitable convex function.
- Published
- 2021
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