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Plateau's problem

In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary. The problem is considered part of the calculus of variations. The existence and regularity problems are part of geometric measure theory. It is named after Joseph Plateau.

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Plateau's problem

Nodes33
Edges32
Triples56
Avg. degree1.94
Density0.060606
Components1

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Plateau's problem

Top relations

related to References · 50
Plateau's problem → Academic Press, Acta Mathematica, Almgren, Amer, Ann, Beginner's Guide, Benjamin, Bibcode, Breach, Calculus, Douglas, EMS PressRadó, Encyclopedia, Ernst Robert, Fomenko, Frank, Frederick, Geometric Measure Theory, Gordon, Harrison
has application · 6
Plateau's problem → Delta, Ernst Robert Reifenberg, Frederick Almgren, In, Physical, Plateau's

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Important terminology

problem plateau's plateau existence displaystyle isbn theory mathematics almgren doi douglas codimension higher solutions 10 problems geometric measure part rectifiable

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Plateau's problemhas applicationPhysical0.60section
Plateau's problemhas applicationDelta0.60section
Plateau's problemhas applicationFrederick Almgren0.60section
Plateau's problemhas applicationIn0.60section
Plateau's problemhas applicationErnst Robert Reifenberg0.60section
Plateau's problemhas applicationPlateau's0.60section
Plateau's problemrelated to ReferencesDouglas0.60section
Plateau's problemrelated to ReferencesJesse0.60section
Plateau's problemrelated to ReferencesSolution0.60section
Plateau's problemrelated to ReferencesPlateau0.60section
Plateau's problemrelated to ReferencesTrans0.60section
Plateau's problemrelated to ReferencesAmer0.60section

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