Calculus of Variations and Geometric Measure Theory
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J. F. Babadjian - F. Prinari - E. Zappale

Dimensional reduction for supremal functionals

created by prinari on 27 Oct 2010
modified on 10 Nov 2014

[BibTeX]

Published Paper

Inserted: 27 oct 2010
Last Updated: 10 nov 2014

Journal: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume: 32
Year: 2012
Doi: doi:10.3934/dcds.2012.32.1503

Abstract:

A 3D-2D dimensional reduction analysis for supremal functionals is performed in the realm of Gamma$^*$-convergence. We show that the limit functional still admits a supremal representation, and we provide a precise identification of its density in some particular cases. Our results rely on an abstract representation theorem for the Gamma$^*$-limit of a family of supremal functionals.


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