Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908464590094336 |
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| author | Lussardi, Luca Torricelli, Andrea Zappale, Elvira |
| author_facet | Lussardi, Luca Torricelli, Andrea Zappale, Elvira |
| contents | We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is carried out by $Γ$-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space Lussardi, Luca Torricelli, Andrea Zappale, Elvira Analysis of PDEs We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is carried out by $Γ$-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation |
| title | Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.18390 |