@Article{CMAA-4-368,
author = {Barroso , Ana CristinaMatias , José and Zappale , Elvira},
title = {Multi-Level Structured Deformations: Relaxation via a Global Method Approach},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {3},
pages = {368--391},
abstract = {<p style="text-align: justify;">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.<br/>Some applications to specific relaxation problems are also mentioned, showing
that our global method approach recovers some previously established results.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2025-0010},
url = {http://global-sci.org/intro/article_detail/cmaa/24334.html}
}