Multi-level structured deformations: relaxation via a global method approach
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917994385375232 |
|---|---|
| author | Barroso, A. C. Matias, J. Zappale, E. |
| author_facet | Barroso, A. C. Matias, J. Zappale, E. |
| contents | We present some relaxation and integral representation results for energy functionals in the setting of structured deformations, with special emphasis given to the case of multi-level structured deformations. In particular, we present an integral representation result for an abstract class of variational functionals in this framework via a global method for relaxation and identify, under quite general assumptions, the corresponding relaxed energy densities through the study of a related local Dirichlet-type problem.
Some applications to specific relaxation problems are also mentioned, showing that our global method approach recovers some previously established results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15443 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-level structured deformations: relaxation via a global method approach Barroso, A. C. Matias, J. Zappale, E. Analysis of PDEs Functional Analysis 49J45, 46E30, 74A60, 74M99, 74B20 We present some relaxation and integral representation results for energy functionals in the setting of structured deformations, with special emphasis given to the case of multi-level structured deformations. In particular, we present an integral representation result for an abstract class of variational functionals in this framework via a global method for relaxation and identify, under quite general assumptions, the corresponding relaxed energy densities through the study of a related local Dirichlet-type problem. Some applications to specific relaxation problems are also mentioned, showing that our global method approach recovers some previously established results. |
| title | Multi-level structured deformations: relaxation via a global method approach |
| topic | Analysis of PDEs Functional Analysis 49J45, 46E30, 74A60, 74M99, 74B20 |
| url | https://arxiv.org/abs/2504.15443 |