以弹性曲线为界的最小曲面

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020 Pub Date : 1900-01-01 DOI:10.1063/5.0081343

Á. Pámpano

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引用次数: 0

摘要

．我们研究具有边界的平衡紧曲面，其能量是Willmore能量的线性组合，第二项测量边界的弯曲，我们主要关注最小曲面。在这种情况下，原问题化为具有一定拓扑限制的固定边界弹性曲线的平台问题。

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Minimal surfaces bounded by elastic curves

. We study equilibrium compact surfaces with boundary for an energy which is a linear combination of the Willmore energy and a second term which measures the bending of the boundary, focusing our attention mainly on minimal surfaces. In this case, the original problem reduces to the Plateau problem for ﬁxed boundary elastic curves, with some topological restrictions.

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INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020

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