We give here some applications of previous existence end representation results for an abstract nonparametric integral of Burkill-Cesari type. In particular, we deal with integral of the calculus of variations depending on the second order differential elements comparing the present Weierstrass-type functional with the classical Cinquini-Lebesgue formulation. As an application, we introduce the weighted generalized area for a BV surface in the sense of Cesari.

The non-parametric integral of the calculus of variations as a Weierstrass integral. II. Some applications

BRANDI, Primo;SALVADORI, Anna
1985

Abstract

We give here some applications of previous existence end representation results for an abstract nonparametric integral of Burkill-Cesari type. In particular, we deal with integral of the calculus of variations depending on the second order differential elements comparing the present Weierstrass-type functional with the classical Cinquini-Lebesgue formulation. As an application, we introduce the weighted generalized area for a BV surface in the sense of Cesari.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/915096
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? ND
social impact