Pierre Cardaliaguet & Rabah Tahraoui
Abstract:
We establish the existence of a elliptic family of convex solutions
for Bernoulli interior free-boundary problems in bounded convex
domains. We also proved that there is a unique solution to the
problem associated with the so-called Bernoulli constant, and give
an estimate from above for this constant.
Submitted January 3, 2002. Published December 10, 2002.
Math Subject Classifications: 35R35.
Key Words: Bernoulli free-boundary problem, convex solutions,
Borell's inequality.
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| Pierre Cardaliaguet Universite de Bretagne Occidentale, Departement de Mathematiques, 6, avenue Victor-le-Gorgeu, B.P. 809, 29285 Brest Cedex, France e-mail: Pierre.Cardaliaguet@univ-brest.fr | |
 |
Rabah Tahraoui C.E.R.E.M.A.D.E., Universite Paris IX Dauphine, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16 France and I.U.F.M. de Rouen, 2, rue du Tronquet, B.P. 18, Mont Saint-Aignan 76131 France e-mail: tahraoui@ceremade.dauphine.fr |
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