On the approximation of the elastica functional in radial symmetry

Bellettini, G.; Mugnai, L.

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On the approximation of the elastica functional in radial symmetry

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Mugnai, L.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Bellettini, G., & Mugnai, L. (2005). On the approximation of the elastica functional in radial symmetry. Calculus of Variations and Partial Differential Equations, 24(1), 1-20.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4DE7-E

Abstract

We prove a result concerning the approximation of the elastica functional with a sequence of second order functionals, under radial symmetry assumptions. This theorem is strictly related to a conjecture of De Giorgi [8]. Received: 26 July 2004, Accepted: 19 October 2004, Published online: 22 December 2004 The first author is grateful to Maurizio Paolini for useful discussions. The second author gratefully acknowledges the hospitality and the support of the Max Planck Institute for Gravitational Physics in Golm, where this paper was completed.