Geodesic
Isoperimetric inequality for an interior free boundary problem with $p$-Laplacian operator
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: By considering the p-Laplacian operator, we establish an existence and regularity result for a shape optimization problem. From a monotony result, we show the existence of a solution to the interior problem with a free surface for a family of Bernoulli constants. We also give an optimal estimation for the upper bound of the Bernoulli constant.
Classification : 35R35
Keywords: Bernoulli free boundary problem, starshaped domain, shape optimization, shape derivative, monotony 
@article{EJDE_2004__2004__a179,
     author = {Ly, Idrissa and Seck, Diaraf},
     title = {Isoperimetric inequality for an interior free boundary problem with $p${-Laplacian} operator},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a179/}
}
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Ly, Idrissa; Seck, Diaraf. Isoperimetric inequality for an interior free boundary problem with $p$-Laplacian operator. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a179/