MATHEMATICA BOHEMICA, Vol. 126, No. 2, pp. 531-540 (2001)

The PDE describing constant mean curvature surfaces

Hongyou Wu

Hongyou Wu, Department of Mathematical Sciences, Northern Illinois University, De Kalb, IL 60115, USA, e-mail: wu@math.niu.edu

Abstract: We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.

Keywords: constant mean curvature surfaces, nonlinear partial differential equation, dressing action, Weierstrass type representation

Classification (MSC2000): 53A10, 35J60, 35Q53

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