Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces
We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove that the density of the F-limit is a tangential quasiconvex integrand represented by a cell formula.
Authors
- Elvira Zappale (ORCID: https://orcid.org/0000-0001-7419-300X)
- Luca Lussardi (ORCID: https://orcid.org/0000-0001-9130-3573)
- Michela Eleuteri (ORCID: https://orcid.org/0000-0003-4043-1852)
- Andrea Torricelli (ORCID: https://orcid.org/0000-0002-8612-4076)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2025-12-17
- DOI
- https://doi.org/10.1016/j.nonrwa.2025.104579
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00