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

Ana Margarida Ribeiro; Elvira Zappale

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arXiv · 2309.10190

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

Ana Margarida Ribeiro·Elvira Zappale

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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 $L^\infty$ context.

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Ana Margarida Ribeiro, Elvira Zappale. 2023-09-18. Revisited convexity notions for $L^\infty$ variational problems. https://arxiv.org/abs/2309.10190

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