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Consider the minimal surface problem Minimize J(u) := 1tur turdxdy within the set W := {ue Wil(Q) : ulan = f} If a minimizer u

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Consider the minimal surface problem Minimize J(u) := 1tur turdxdy within the set W := {ue Wil(Q) : ulan = f} If a minimizer u exist, show that u satisfies the following nonlinear problem with the Dirichlet boundary condition: V Vu 1 + / Vu / 2 = 0 in n ulan = f

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