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
TypeArticle accepté pour publication ou publié
Journal nameElectronic Journal of Differential Equations
Texas State University - San Marcos
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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 / KeywordsBernoulli free-boundary problem; convex solutions; Borell's inequality
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