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Differentiability of minimal surfaces at the boundary

Differentiability of minimal surfaces at the boundary

Let Γ be a Jordan curve in R z and F(z) = (u(z) 9 v(z), w(z)): {\z\ ^ 1} -» R B be a solution of Plateau's problem for Γ, where z = x + iy are isothermal parameters.Then u,v,w are harmonic in {\z\ < 1} and are the real …