Approximation theorems for the multiple integral of the calculus of variations

DOI10.1007/BF02845128zbMath0522.49029MaRDI QIDQ1056052

Carlo Bardaro, Domenico Candeloro

Publication date: 1981

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

sublinear functionalsmultiple integralsapproximation theoremsdistributional derivativesSerrin integration

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Distributions, generalized functions, distribution spaces (46F99) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (4)

Life and work of Domenico Candeloro: an appreciation ⋮ Approximation by regular functions in Sobolev spaces arising from doubly elliptic problems ⋮ The work of calogero vinti in approximation theory and its impact in calculus of variations ⋮ A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer

Cites Work

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• Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen
• Sublinear functions of measures and variational integrals
• The decomposition of measures
• An expression connected with the area of a surface z=F(x,y)
• On the Definition and Properties of Certain Variational Integrals

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