DIMENSIONAL REDUCTION FOR SUPREMAL FUNCTIONALS

作者:Babadjian Jean Francois*; Prinari Francesca; Zappale Elvira
来源:Discrete and Continuous Dynamical Systems, 2012, 32(5): 1503-1535.
DOI:10.3934/dcds.2012.32.1503

摘要

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.

  • 出版日期2012-5