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单词 RadosTheorem
释义

Rado’s theorem


Theorem (Rado).

Suppose ΩR2 is a convex (http://planetmath.org/ConvexSet) domain (http://planetmath.org/Domain2) with a smooth boundary Ω and suppose that D is the unit disc. Then given any homeomorphismMathworldPlanetmathPlanetmath μ:DΩ, there exists a unique harmonic function u:DΩ such that u=μ on D and u is a diffeomorphismMathworldPlanetmath.

References

  • 1 R. Schoen, S. T. Yau. . International Press, Inc., Boston, Massachusetts, 1997
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