Inserted: 2 nov 2006
Last Updated: 13 jul 2007
Journal: Ann. Mat. Pura Appl.
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