Article
| Title: | Stochastic-periodic homogenization of a class of minimization problems in Orlicz-Sobolev spaces (English) |
| Author: | Tachago, Joel Fotso |
| Author: | Tchinda Takougoum, Franck |
| Author: | Dongho, Joseph |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 2 |
| Year: | 2026 |
| Pages: | 269-298 |
| Summary lang: | English |
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| Category: | math |
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| 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. (English) |
| Keyword: | homogenization |
| Keyword: | stochastic-periodic |
| Keyword: | dynamical system |
| Keyword: | minimization problem |
| Keyword: | stochastic two-scale convergence |
| Keyword: | Orlicz-Sobolev spaces |
| MSC: | 35B27 |
| MSC: | 35B40 |
| MSC: | 37A05 |
| MSC: | 46E30 |
| MSC: | 49J55 |
| DOI: | 10.21136/AM.2026.0239-25 |
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| Date available: | 2026-07-31T06:57:27Z |
| Last updated: | 2026-08-03 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153663 |
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