Stochastic-periodic homogenization of a class of minimization problems in Orlicz-Sobolev spaces
Abstract
summary:We develop the stochastic two-scale convergence method in the framework of Orlicz-Sobolev spaces, in order to deal with the homogenization of coupled stochastic-periodic problems in such spaces. One fundamental in this topic is the extension of compactness results for this method to the Orlicz setting. For the application, we show that the sequence of minimizers of a class of highly oscillatory minimizations problems involving integral functionals with convex and nonstandard growth integrands, converges to the minimizer of a homogenized problem.
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Topology Optimization in Engineering
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Applications of Mathematics
- Publisher
- Institute of Mathematics, Czech Academy of Sciences
- Volume
- 71
- Issue
- 2
- Pages
- 269–298
- Publication date
- 1 April 2026
- Language
- EN