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

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Date
2002
Dewey
Analyse
Sujet
Bernoulli free-boundary problem; convex solutions; Borell's inequality
Journal issue
Electronic Journal of Differential Equations
Volume
2002
Number
102
Publication date
2002
Article pages
1-16
Publisher
Texas State University - San Marcos
URI
https://basepub.dauphine.fr/handle/123456789/6398
Collections
  • CEREMADE : Publications
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Author
Cardaliaguet, Pierre
Tahraoui, Rabah
Type
Article accepté pour publication ou publié
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.

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