Plateau's problem

Known as: Plateau (disambiguation), Plateau problem, Plateau’s problem 
In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary, a problem raised by Joseph-Louis Lagrange in… (More)
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Papers overview

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2017
2017
The Kirchhoff-Plateau problem concerns the equilibrium shapes of a system in which a flexible filament in the form of a closed… (More)
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2014
2014
  • S. Ivashkovich
  • 2014
We consider the complex Plateau problem for strongly pseudoconvex contours in non-Kähler manifolds. We give a necessary and… (More)
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2013
2013
The validity of global quadratic stability inequalities for uniquely regular area minimizing hypersurfaces is proved to be… (More)
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2010
2010
Let M C R" be a compact submanifold of Euclidean space which is invariant by a compact group G C SO (zz). When dim (M) = zz 2, it… (More)
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2009
2009
We study the Plateau Problem of finding an area minimizing disk bounding a given Jordan curve in Alexandrov spaces with curvature… (More)
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Review
2009
Review
2009
  • BARIS COSKUNUZER
  • 2009
This is a survey of old and recent results about the asymptot ic Plateau problem. Our aim is to give a fairly complete picture of… (More)
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2007
2007
  • MICHAEL EICHMAIR
  • 2007
We solve the Plateau problem for apparent horizons on general Cauchy data sets. In our construction we introduce a Perron method… (More)
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2005
2005
In this paper, we study a second order variational problem for locally convex hypersurfaces, which is the affine invariant… (More)
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2004
2004
In this paper we prove the L2 convergence rates for a fully discrete finite element procedure for approximating minimal, possibly… (More)
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1999
1999
We solve the problem of finding and justifying an optimal fully discrete finite element procedure for approximating minimal… (More)
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