• Thumbnail for 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 1760...
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  • Thumbnail for Joseph Plateau
    displays—desktop, mobile, and the Google App. Patterns in nature Plateau's laws Plateau's problem Plateau–Rayleigh instability Soap bubble Stretched grid method...
    13 KB (1,207 words) - 18:34, 7 June 2025
  • Thumbnail for Jesse Douglas
    mathematician and Fields Medalist known for his general solution to Plateau's problem. He was born to a Jewish family in New York City, the son of Sarah...
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  • problems for the Laplace equation satisfy the Dirichlet's principle. Plateau's problem requires finding a surface of minimal area that spans a given contour...
    58 KB (9,530 words) - 08:36, 5 June 2025
  • Thumbnail for Jim Simons
    College Dublin in 2018. Simons, J. (August 1967). "Minimal Cones, Plateau's Problem, and the Bernstein Conjecture". Proc Natl Acad Sci U S A. 58 (2):...
    64 KB (5,077 words) - 19:06, 16 June 2025
  • measure theory was born out of the desire to solve Plateau's problem (named after Joseph Plateau) which asks if for every smooth closed curve in R 3...
    7 KB (811 words) - 06:42, 10 September 2023
  • Thumbnail for Jenny Harrison
    mechanics. Her solution to Plateau's problem is the first proof of existence of a solution to a universal Plateau's problem for finitely many boundary...
    8 KB (778 words) - 23:21, 19 June 2025
  • 1951), and proposed them as generalized solutions to Plateau's problem in order to deal with the problem even when a concept of orientation is missing. He...
    11 KB (901 words) - 02:44, 25 November 2024
  • Príncipe Plateaux Region, Togo Plateau's problem Plateau's laws Plateau (mathematics), a region where a function is constant "Plateau" (song), by Meat Puppets...
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  • portion of Plateau's problem" but the stationary varifolds used in this section can only solve a greatly simplified version of the problem. For example...
    12 KB (1,322 words) - 01:48, 17 April 2024
  • surface Morse theory Noether's theorem Path integral formulation Plateau's problem Prime geodesic Principle of least action Soap bubble Soap film Tautochrone...
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  • Thumbnail for Minimal surface
    Bernstein's problem Bilinear interpolation Bryant surface Curvature Enneper–Weierstrass parameterization Harmonic map Harmonic morphism Plateau's problem Schwarz...
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  • surfaces were generated using symmetry arguments: given a solution to Plateau's problem for a polygon, reflections of the surface across the boundary lines...
    6 KB (639 words) - 20:54, 29 October 2023
  • Minification (disambiguation) Maximisation (disambiguation) Magnification Plateau's problem This disambiguation page lists articles associated with the title...
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  • Thumbnail for Tibor Radó
    triangulation. In 1933, Radó published "On the Problem of Plateau" in which he gave a solution to Plateau's problem, and in 1935, "Subharmonic Functions". His...
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  • method in the calculus of variations. Dirichlet problem Hilbert's twentieth problem Plateau's problem Green's first identity Monna 1975, p. 33 Monna 1975...
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  • a Few Remarks, by Peter Constantin Plateau’s Problem, by Jenny Harrison and Harrison Pugh The Unknotting Problem, by Louis Kauffman How Can Cooperative...
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  • geometric measure theory. The notion was applied to find solutions to Plateau's problem. In 2001 the notion of an integral current was extended to arbitrary...
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  • Thumbnail for Henri Lebesgue
    area and applicable surfaces. The final chapter deals mainly with Plateau's problem. This dissertation is considered to be one of the finest ever written...
    19 KB (2,242 words) - 20:29, 1 June 2025
  • Thumbnail for Robert Osserman
    "A proof of the regularity everywhere of the classical solution to Plateau's problem". Annals of Mathematics. Second series. 91 (3): 550–569. doi:10.2307/1970637...
    12 KB (1,009 words) - 08:00, 10 July 2025
  • Thumbnail for Anatoly Fomenko
    Topological variational problems. – Gordon and Breach, 1991. A.T. Fomenko, Dao Chong Thi Minimal surfaces and Plateau problem. USA, American Mathematical...
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  • commentaries from Luis Caffarelli and other noted mathematicians. Plateau's problem Calculus of variations Elliptic partial differential equation Minimal...
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  • Thumbnail for Fields Medal
    Sylvia; Gruber, David (21 August 2006). "Manifold Destiny: A legendary problem and the battle over who solved it". The New Yorker. Archived from the original...
    90 KB (4,942 words) - 13:45, 26 June 2025
  • Thumbnail for Relativistic Lagrangian mechanics
    Lagrangian system Non-autonomous mechanics Restricted three-body problem Plateau's problem The line element squared is the Lorentz invariant c 2 d τ 2 =...
    36 KB (5,566 words) - 09:33, 8 July 2025
  • Thumbnail for Jean Taylor
    long-standing problem about length and smoothness of soap-film triple function curves. In 1976 she, along with Almgren, published the first proof of Plateau's laws...
    9 KB (736 words) - 22:09, 19 March 2025
  • Thumbnail for Knapsack problem
    The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items...
    49 KB (7,744 words) - 04:22, 30 June 2025
  • Thumbnail for Differential geometry of surfaces
    surface with given boundary exists is called Plateau's problem after the Belgian physicist Joseph Plateau who carried out experiments on soap films in...
    129 KB (17,641 words) - 09:51, 24 June 2025
  • Thumbnail for Lagrangian mechanics
    Lagrangian point Lagrangian system Non-autonomous mechanics Plateau's problem Restricted three-body problem Sometimes in this context the variational derivative...
    96 KB (15,276 words) - 06:38, 28 June 2025
  • Planck's law of black body radiation Joseph Plateau, Belgian physicist – Plateau's laws, Plateau's problem. Plato, Greek philosopher – Platonic solids...
    101 KB (9,640 words) - 09:23, 13 July 2025
  • obstacle problem arises when one considers the shape taken by a soap film in a domain whose boundary position is fixed (see Plateau's problem), with the...
    16 KB (1,968 words) - 13:13, 28 May 2025