11 research outputs found
A remark about dimension reduction for supremal functionals: the case with convex domains
An application of dimensional reduction results for gradient constrained
problems is provided for 3D-2D dimension reduction for supremal functionals, in
the case when the domain is convex
Existence of Minimizers for Non-Level Convex Supremal Functionals
The paper is devoted to determine necessary and sufficient conditions for
existence of solutions to the problem when the supremand is
not necessarily level convex. These conditions are obtained through a
comparison with the related level convex problem and are written in terms of a
differential inclusion involving the boundary datum. Several conditions of
convexity for the supremand are also investigated