A selection theorem for essentially regulated functions of several variables

DOI10.1016/j.jmaa.2024.128099OpenAlexW4390781694MaRDI QIDQ6198314

Helge Kristian Jenssen

Publication date: 21 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2024.128099

zbMATH Keywords

compactnessfunctions of bounded variationregulated functions

Mathematics Subject Classification ID

Functions of one variable (26Axx) Functions of several variables (26Bxx) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

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• Differentiability of six operators on nonsmooth functions and \(p\)-variation. With the collaboration of Jinghua Qian
• Pointwise selection theorems for metric space valued bivariate functions
• The joint modulus of variation of metric space valued functions and pointwise selection principles
• One-Dimensional Scalar Conservation Laws with Regulated Data
• Regulated functions with values in Banach space
• On Helly's principle for metric semigroup valued BV mappings to two real variables
• From Approximate Variation to Pointwise Selection Principles

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