Work

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

Year: 2024

Type: article

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 $$L^p$$ L p -approximation, as $$p \rightarrow +\infty $$ 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 $$L^\infty $$ L ∞ context.

Source: Revista Matemática Complutense

DOI: 10.1007/s13163-024-00499-0

Authors: Ana Margarida Ribeiro, Elvira Zappale

Institutions: Sapienza University of Rome, NOVAMath Center for Mathematics and Applications, Universidade Nova de Lisboa

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990