English

Revisited convexity notions for $L^\infty$ variational problems

Analysis of PDEs 2023-09-20 v1 Optimization and Control

Abstract

We address a deep study of the convexity notions that arise in the study of weak* lower semicontinuity of supremal functionals as well as those raised by the power-law approximation of such functionals. Our quest is motivated by the knowledge we have on the analogous integral functionals and aims at establishing a solid groundwork to ease any research in the LL^\infty context.

Keywords

Cite

@article{arxiv.2309.10190,
  title  = {Revisited convexity notions for $L^\infty$ variational problems},
  author = {Ana Margarida Ribeiro and Elvira Zappale},
  journal= {arXiv preprint arXiv:2309.10190},
  year   = {2023}
}
R2 v1 2026-06-28T12:25:29.809Z