Existence of Minimizers for Non-Level Convex Supremal Functionals
Optimization and Control
2016-11-26 v1
Abstract
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.
Cite
@article{arxiv.1308.3307,
title = {Existence of Minimizers for Non-Level Convex Supremal Functionals},
author = {Ana Margarida Ribeiro and Elvira Zappale},
journal= {arXiv preprint arXiv:1308.3307},
year = {2016}
}