Revisited convexity notions for L^∞ variational problems

2023/09/18 by Ribeiro, Ana Margarida, Zappale, Elvira
#26B25 #49J45 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2309.10190

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 L^∞ context.

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