The nonparametric integral of the calculus of variations as a Weierstrass integral: existence and representation

DOI10.1016/0022-247X(85)90354-3zbMath0582.49031MaRDI QIDQ1068357

Primo Brandi, Anna Salvadori

Publication date: 1985

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

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75)

Related Items (5)

On the nonparametric integral over a bv surface ⋮ On the lower semicontinuity of certain integrals of the calculus of variations ⋮ Nonlinear integration and Weierstrass integral over a manifold, connections with theorems on martingales ⋮ The nonparametric Weierstrass integral over a BV curve as a length functional ⋮ The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications

Cites Work

• The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications
• Sull'estensione dell'integrale debole alla Burkill-Cesari ad una misura
• L'integrale di Weierstrass non parametrico e quasi additivita
• Quasi additivita e integrali non parametrici 2-dimensionali del calcolo delle variazioni
• Approssimata subadditivita e integrali non parametrici 2-dimensionali del calcolo delle variazioni
• The Burkill-Cesari integral
• Burkill-Cesari integrals of quasi additive interval functions
• The theory of the Burkill integral
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• 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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