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arXiv · 1301.6927

Classification of the solutions to an overdetermined problem in the plane

Martin Traizet
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Abstract

We classify the solutions to an overdetermined elliptic problem in the plane in the finite connectivity case. This is achieved by establishing a one-to-one correspondence between the solutions to this problem and a certain type of minimal surfaces.

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Martin Traizet. 2013-03-22. Classification of the solutions to an overdetermined problem in the plane. https://arxiv.org/abs/1301.6927

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