Geodesic
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains
Electronic journal of differential equations, Tome 2002 (2002)
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.
Classification : 35R35
Keywords: Bernoulli free-boundary problem, convex solutions, borell's inequality 
@article{EJDE_2002__2002__a119,
     author = {Cardaliaguet,  Pierre and Tahraoui,  Rabah},
     title = {Some uniqueness results for {Bernoulli} interior free-boundary problems in convex domains},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1029.35227},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a119/}
}
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VL  - 2002
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%A Tahraoui,  Rabah
%T Some uniqueness results for Bernoulli interior free-boundary problems in convex domains
%J Electronic journal of differential equations
%D 2002
%V 2002
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a119/
%G en
%F EJDE_2002__2002__a119
Cardaliaguet,  Pierre; Tahraoui,  Rabah. Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a119/