Bifurkation von Minimalflächen und elementare Katastrophen. (Bifurcation of minimal surfaces and elementary catastrophes)
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Publication:1093219
DOI10.1007/BF01186648zbMath0628.58007OpenAlexW2027467037MaRDI QIDQ1093219
Publication date: 1986
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155141
Minimal surfaces and optimization (49Q05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Catastrophe theory (58K35)
Related Items (3)
Bifurcation near solutions of variational problems with degenerate second variation ⋮ On the numerical approximation and computation of minimal surface continua bounded by one-parameter families of polygonal contours ⋮ Bifurcation of Minimal Surfaces in Riemannian Manifolds
Cites Work
- The cusp catastrophe of Thom in the bifurcation of minimal surfaces
- Differential operators for partial differential equations and function theoretic applications
- A perturbation theorem for surfaces of constant mean curvature
- Zur Struktur der Lösungsmenge des Plateauproblems
- Contours bounding at least three solutions of Plateau's problem
- On differentiable functions with isolated critical points
- Morse theory on Hilbert manifolds
- On universal unfoldings of certain real functions on a Banach space
- Almost-Riemannian Structures on Banach Manifolds: The Morse Lemma and the Darboux Theorem
- Elliptic Partial Differential Equations of Second Order
- Non-uniqueness for Plateau's problem. A bifurcation process
- The Morse lemma on arbitrary Banach spaces
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