An optimal design problem with non-standard growth and no concentration effects
Analysis of PDEs
2021-04-13 v2 Optimization and Control
Abstract
We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions and perimeter penalisation. Under our hypotheses, the integral representation includes a term which is absolutely continuous with respect to the Lebesgue measure and a perimeter term, but no additional singular term. We also study some dimension reduction problems providing results for the optimal design of thin films.
Keywords
Cite
@article{arxiv.2007.01863,
title = {An optimal design problem with non-standard growth and no concentration effects},
author = {Ana Cristina Barroso and Elvira Zappale},
journal= {arXiv preprint arXiv:2007.01863},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1712.03657