4.4 Article

Classification of the Solutions to an Overdetermined Elliptic Problem in the Plane

Journal

GEOMETRIC AND FUNCTIONAL ANALYSIS
Volume 24, Issue 2, Pages 690-720

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00039-014-0268-5

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Funding

  1. [ANR-11-IS01-0002]

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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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