Online First
Multi-Level Structured Deformations: Relaxation via a Global Method Approach
Ana Cristina Barroso, José Matias and Elvira Zappale

Commun. Math. Anal. Appl. DOI: 10.4208/cmaa.2025-0010

Publication Date : 2025-08-11

  • Abstract

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.

  • Copyright

COPYRIGHT: © Global Science Press