Conelike soap films spanning tetrahedra

DOI10.1090/S0002-9947-2010-04899-8zbMath1198.49039arXiv0809.0434OpenAlexW2058788038MaRDI QIDQ3053465

Robert Huff

Publication date: 29 October 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0434

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Elementary problems in Euclidean geometries (51M04)

Related Items (1)

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

Cites Work

• Soap films spanning rectangular prisms
• The structure of singularities in solutions to ellipsoidal variational problems with constraints in \(R^3\)
• Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
• Scherk-type capillary graphs
• Soap films and Kelvin's curved, truncated octahedron
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
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