
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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Article accepté pour publication ou publiéDate
2002Journal name
Electronic Journal of Differential EquationsVolume
2002Number
102Publisher
Texas State University - San Marcos
Pages
1-16
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Show full item recordAbstract (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 inequalityRelated items
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