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.
On the relaxation of a class of functionals defined on Riemannian distances / Davini, Andrea. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 12:(2005), pp. 113-130.
On the relaxation of a class of functionals defined on Riemannian distances
DAVINI, ANDREA
2005
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.File allegati a questo prodotto
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