Geodesic
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains
Electronic Journal of Differential Equations, Tome 2002 (2002).

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

Summary: 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__a19,
     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},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a19/}
}
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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__a19/