We address a detailed study of the convexity notions that arise in the study of weak* lower semicontinuity of supremal functionals, as well as those arising by the Lp-approximation, as p→+∞ of such functionals. Our quest is motivated by the knowledge we have on the analogous integral functionals and aims at establishing a solid groundwork underlying further research in the L∞ context.
Revisited convexity notions for L∞ variational problems / Ribeiro, A. M.; Zappale, E.. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - (2024). [10.1007/s13163-024-00499-0]
Revisited convexity notions for L∞ variational problems
Ribeiro A. M.;Zappale E.
2024
Abstract
We address a detailed study of the convexity notions that arise in the study of weak* lower semicontinuity of supremal functionals, as well as those arising by the Lp-approximation, as p→+∞ of such functionals. Our quest is motivated by the knowledge we have on the analogous integral functionals and aims at establishing a solid groundwork underlying further research in the L∞ context.File allegati a questo prodotto
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