Dimensional reduction for supremal functionals
Jean‐François Babadjian, Francesca Prinari, Elvira Zappale · Discrete and Continuous Dynamical Systems · 2012
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.