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An existence result for a quadrature surface free boundary problem

Mohammed BarkatouDiaraf SeckIdrissa Ly — 2005

Open Mathematics

The aim of this paper is to present two different approachs in order to obtain an existence result to the so-called quadrature surface free boundary problem. The first one requires the shape derivative calculus while the second one depends strongly on the compatibility condition of the Neumann problem. A necessary and sufficient condition of existences is given in the radial case.

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