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.
@article{bwmeta1.element.doi-10_2478_BF02475654,
author = {Mohammed Barkatou and Diaraf Seck and Idrissa Ly},
title = {An existence result for a quadrature surface free boundary problem},
journal = {Open Mathematics},
volume = {3},
year = {2005},
pages = {39-57},
zbl = {1207.35106},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475654}
}
Mohammed Barkatou; Diaraf Seck; Idrissa Ly. An existence result for a quadrature surface free boundary problem. Open Mathematics, Tome 3 (2005) pp. 39-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475654/
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