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Some uniqueness results for Bernoulli interior free-boundary problems in convex domains

Cardaliaguet, Pierre; Tahraoui, Rabah (2002), Some uniqueness results for Bernoulli interior free-boundary problems in convex domains, Electronic Journal of Differential Equations, 2002, 102, p. 1-16

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Type
Article accepté pour publication ou publié
Date
2002
Journal name
Electronic Journal of Differential Equations
Volume
2002
Number
102
Publisher
Texas State University - San Marcos
Pages
1-16
Metadata
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Author(s)
Cardaliaguet, Pierre
Tahraoui, Rabah
Abstract (EN)
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.
Subjects / Keywords
Bernoulli free-boundary problem; convex solutions; Borell's inequality