The nonparametric Weierstrass integral over a BV curve as a length functional

DOI10.1006/JMAA.1999.6691zbMath1018.49030OpenAlexW2020033345MaRDI QIDQ1973947

Loris Faina

Publication date: 24 August 2003

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6691

zbMATH Keywords

function of bounded variationlength functionalWeierstrass integral

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10)

Cites Work

• On the lower semicontinuity of certain integrals of the calculus of variations
• The nonparametric integral of the calculus of variations as a Weierstrass integral: existence and representation
• Sulla convergenza in lunghezza in senso generalizzato con peso per una successione di curve parametriche
• Sull'estensione dell'integrale debole alla Burkill-Cesari ad una misura
• A quasi-additivity type condition and the integral over a BV variety
• The Burkill-Cesari integral
• Burkill-Cesari integrals of quasi additive interval functions
• The parametric Weierstrass integral over a BV curve as a length functional
• Quasi Additive Set Functions and the Concept of Integral Over a Variety
• Extension Problem for Quasi Additive Set Functions and Radon-Nikodym Derivatives
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