Calculus of Variations and Geometric Measure Theory

A. Davini

On the relaxation of a class of functionals defined on Riemannian distances

created on 05 Mar 2003

[BibTeX]

Preprint

Inserted: 5 mar 2003

Pages: 16
Year: 2002

Abstract:

In this paper we study the relaxation of a class of functionals defined on distances induced by isotropic Riemannian metrics on an open subset of $\R^N$. We prove that isotropic Riemannian metrics are dense in Finsler ones and we show that the relaxed functionals admit a specific integral representation.

Keywords: relaxation, Gamma convergence, Finsler metrics, Riemannian metrics


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