Classification of the Solutions to an Overdetermined Elliptic Problem in the Plane |
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| Authors: | Martin Traizet |
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| Institution: | 1. Laboratoire de Mathématiques et Physique Théorique, Université Fran?ois Rabelais, 37200, Tours, France
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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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