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Plateau's Equation

The partial differential equation

(1+u_y^2)u_(xx)-2u_xu_yu_(xy)+(1+u_x^2)u_(yy)=0

(correcting a typo in Zwillinger 1997, p. 134).

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References

Bateman, H. Partial Differential Equations of Mathematical Physics. New York: Dover, p. 501, 1944.John, F. Partial Differential Equations, 1st ed. New York: Springer-Verlag, p. 4, 1971.Spivak, M. A Comprehensive Introduction to Differential Geometry, Vol. 4, 2nd ed. Berkeley, CA: Publish or Perish Press, p. 388, 1979.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 134, 1997.

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Plateau's Equation

Cite this as:

Weisstein, Eric W. "Plateau's Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PlateausEquation.html

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