A variational approach to the existence of complete embedded minimal surfaces

DOI10.1215/S0012-7094-88-05739-0zbMath0676.53006OpenAlexW1541637314MaRDI QIDQ1122787

David A. Hoffman, William Hamilton III Meeks

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-88-05739-0

zbMATH Keywords

number of endsembedded minimal surfacesunstable minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items

The Asymptotic Behavior of Properly Embedded Minimal Surfaces of Finite Topology, Embedded minimal surfaces with an infinite number of ends, The global theory of doubly periodic minimal surfaces, Higher-Genus Chen–Gackstatter Surfaces and The Weierstrass Representation for Surfaces of Infinite Genus, The structure of singly-periodic minimal surfaces, Limits of minimal surfaces and Scherk's fifth surface, Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc

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