Delladio, Silvano (2006) 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. UNSPECIFIED. (Unpublished)
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.
| Item Type: | Departmental Technical Report |
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| Department or Research center: | Mathematics |
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| Subjects: | UNSPECIFIED |
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| Uncontrolled Keywords: | Rectifiable sets, Geometric measure theory, Geometric variational problems, Functionals involving the curvature and its derivatives. |
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| Additional Information: | 1991 Mathematics Subject Classification. Primary 49Q15, 49Q20, 49J45; Secondary 28A75, 53A04. |
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| Report Number: | UTM 707, October 2006 |
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| Repository staff approval on: | 10 Nov 2006 |
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