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Classification of the solutions to an overdetermined elliptic problem in the plane

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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https://hal.archives-ouvertes.fr/hal-00785195
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Submitted on : Tuesday, February 5, 2013 - 3:55:27 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:08 PM
Long-term archiving on: : Saturday, April 1, 2017 - 4:24:14 PM

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Martin Traizet. Classification of the solutions to an overdetermined elliptic problem in the plane. Geometric And Functional Analysis, 2014, 24 (2), pp.690--720. ⟨hal-00785195⟩

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