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Article Dans Une Revue Geometric And Functional Analysis Année : 2014

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

Résumé

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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hal-00785195 , version 1 (05-02-2013)

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  • HAL Id : hal-00785195 , version 1

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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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