Minimal solutions of variational problems on a torus
Jürgen Moser (1986)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “On minimal laminations of the torus”
Minimal solutions of variational problems on a torus
Asymptotic behaviour of minimal graphs over exterior domains
L. Simon (1987)
Annales de l'I.H.P. Analyse non linéaire
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Minimal sets of non-resonant torus homeomorphisms
Ferry Kwakkel (2011)
Fundamenta Mathematicae
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As was known to H. Poincaré, an orientation preserving circle homeomorphism without periodic points is either minimal or has no dense orbits, and every orbit accumulates on the unique minimal set. In the first case the minimal set is the circle, in the latter case a Cantor set. In this paper we study a two-dimensional analogue of this classical result: we classify the minimal sets of non-resonant torus homeomorphisms, that is, torus homeomorphisms isotopic to the identity for which the...
Generic uniqueness of a minimal solution for variational problems on a torus.
Zaslavski, Alexander J. (2002)
Abstract and Applied Analysis
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-minimal subsets of the circle
Dusa McDuff (1981)
Annales de l'institut Fourier
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Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
A survey of minimal sets
Walter H. Gottschalk (1964)
Annales de l'institut Fourier
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On solutions of the exterior Dirichlet problem for the minimal surface equation
Ernst Kuwert (1993)
Annales de l'I.H.P. Analyse non linéaire
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