We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.

中文翻译：

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Kirchhoff-Plateau 问题的降维

当杆的横截面消失时，我们获得了具有弹性边界的Plateau问题的最小能量解作为具有杆边界的Kirchhoff-Plateau问题的最小值的变分极限。极限边界是可以承受弯曲和扭曲的框架曲线。