Calculus of Variations and Geometric Measure Theory
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S. Delladio

A class of one-dimensional geometric variational problems with energy involving the curvature and its derivatives. Some results aimed to a geometric measure-theoretic approach.

created by delladio on 02 Nov 2006
modified on 13 Jul 2007

[BibTeX]

Accepted Paper

Inserted: 2 nov 2006
Last Updated: 13 jul 2007

Journal: Ann. Mat. Pura Appl.
Year: 2006

Abstract:

The notions of Legendrian and Gaussian towers are defined and indagated. Then applications in the context of one-dimensional geometric variational problems with the energy involving the curvature and its derivatives are provided. Particular attention is paid to the case when the functional is defined on smooth boundaries of plane sets.

Keywords: Rectifiable sets, Geometric measure theory, geometric variational problems, Functionals involving the curvature and its derivatives


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