A geometric maximum principle for variational problems in spaces of vector-valued functions of bounded variation

DOI10.1007/s10958-011-0544-yzbMath1319.49074OpenAlexW2085403728MaRDI QIDQ476662

Michael Bildhauer, Fuchs, Martin

Publication date: 2 December 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0544-y

zbMATH Keywords

integral functionalsbounded variationvariational problemsvector-valued functionsgeometric maximum principle

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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Cites Work

• On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
• Convex variational problems. Linear, nearly linear and anisotropic growth conditions
• Sublinear functions of measures and variational integrals
• A General Chain Rule for Distributional Derivatives
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