Relaxation of quasi-convex integrals of arbitrary order

Author:

Amar Micol,Cicco Virginia De

Abstract

An integral representation result is given for the lower semicontinuous envelope of the functional ʃΩf(∇ku)dxon the spaceBVk(Ω:ℝm) of the integrable functions, whose thef-th derivative in the sense of distributions is a Radon measure with bounded total variation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference34 articles.

1. 3 Alberti G. . Rank one properties for derivatives of functions with bounded variation. Proc. Roy. Soc. Edinburgh Sect. A. (to appear).

2. Convexity conditions and existence theorems in nonlinear elasticity

3. Multiple Integrals in the Calculus of Variations

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