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:
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