Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone

By using a suitable triple cover we show how to possibly model the construction of a minimal surface with positive genus spanning all six edges of a tetrahedron, working in the space of BV functions and interpreting the film as the boundary of a Caccioppoli set in the covering space. After a questio...

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Veröffentlicht in:	Interfaces and free boundaries 2018-01, Vol.20 (3), p.407-436
Hauptverfasser:	Bellettini, Giovanni, Paolini, Maurizio, Pasquarelli, Franco
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Manifolds and cell complexes optimization
Online-Zugang:	Volltext
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