Calculus of Variations and Geometric Measure Theory
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Minimal Elastic Networks

Alessandra Pluda (Universit├Ąt Regensburg)

created by gelli on 20 Nov 2017
modified on 22 Nov 2017

29 nov 2017 -- 17:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

Abstract.

In this talk we will consider planar networks of three curves minimizing a combination of the elastic energy and the length functional. We will prove existence and regularity of minimizers and we will show some properties of the minimal configurations. In addition to the presentation of the results that are obtained in collaboration with Anna Dall'Acqua and Matteo Novaga, we will give a partial review of the theory of elasticae and discuss about the onset of new phenomena passing from the problem for curves to the one for networks.

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