Revisited convexity notions for $L^\infty$ variational problems
- Resource Type
- Working Paper
- Authors
- Ribeiro, Ana Margarida; Zappale, Elvira
- Source
- Subject
- Mathematics - Analysis of PDEs
Mathematics - Optimization and Control
26B25, 49J45
- Language
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 $L^\infty$ context.