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(106 citation statements)

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“…The regularity up to the boundary for the first case is classic, and is essentially the one for the Plateau problem, for which we refer to [24,23]. We now study the second possibility.…”

confidence: 99%

“…The regularity up to the boundary for the first case is classic, and is essentially the one for the Plateau problem, for which we refer to [24,23]. We now study the second possibility.…”

confidence: 99%

“…It is now easy to verify that for Q = R 3 with the Euclidean metric δ KL , the Euler-Lagrange equations (6.8) for graph of a surface ζ : R 2 ⊃ U → R 3 , ζ(x, y) = (x, y, u(x, y)), are equivalent to the well-known single second-order differential equation for an unknown function u : R 2 ⊃ U → R, (6.11) (1 + u 2 y )u xx − 2u x u y u xy + (1 + u 2 x )u yy = 0, cf. Dierkes, Hildebrandt, and Sauvigny [7].…”

confidence: 99%

“…The form of Thomsen surface can be obtained from [19] and [20]. Equation (1) shows the equation for Thomsen Surface.…”

confidence: 99%