Intrinsic third derivatives for Plateau's problem and the Morse inequalities for disc minimal surfaces in \(\mathbb{R}^ 3\)

DOI10.1007/BF01191299zbMath0793.53010MaRDI QIDQ1315040

Anthony J. Tromba

Publication date: 7 March 1994

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Morse inequalitieswinding numberbranched minimal surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items

The space of complete minimal surfaces with finite total curvature as lagrangian submanifold ⋮ On the negativity of higher order derivatives of Dirichlet's energy in plateau's problem

Uses Software

• conley

Cites Work

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