Calculus of Variations and Geometric Measure Theory
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A. Dall'Acqua - M. Novaga - A. Pluda

Minimal elastic networks

created by pluda on 25 Dec 2017
modified by novaga on 09 Nov 2018


Accepted Paper

Inserted: 25 dec 2017
Last Updated: 9 nov 2018

Journal: Indiana Univ. Math. J.
Year: 2017

ArXiv: 1712.09589 PDF


We consider planar networks of three curves that meet at two junctions with prescribed equal angles, minimizing a combination of the elastic energy and the length functional. We prove existence and regularity of minimizers, and we show some properties of the minimal configurations.


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