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arXiv · 2007.01863

An optimal design problem with non-standard growth and no concentration effects

Ana Cristina Barroso·Elvira Zappale
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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.

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Ana Cristina Barroso, Elvira Zappale. 2021-04-11. An optimal design problem with non-standard growth and no concentration effects. https://arxiv.org/abs/2007.01863

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