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An existence result for a quadrature surface free boundary problem |
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| Authors: | Mohammed Barkatou Diaraf Seck Idrissa Ly |
| Affiliation: | (1) Départment de Mathématiques et Informatique, Faculté des Sciences, Université Chowaib Doukkali, B.P. 20, El Jadida, Maroc;(2) Faculté des Sciences Economiques et de Gestion, Université Cheikh Anta Diop, B.P. 5683, Dakar, Sénégal;(3) Laboratoire d’Analyse Numérique et d’Informatique, Université Gaston Berger, B.P. 234, Saint-Louis, Sénégal |
| Abstract: | 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. |
| Keywords: | Dirichlet problem Neumann problem quadrature surface maximum principle shape optimization optimality conditions |
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