Cardaliaguet, PierreTahraoui, Rabah2020-09-102020-09-102002-12-10Cardaliaguet, P., & Tahraoui, R. (2002). Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. <i>Electronic Journal of Differential Equations, 2002</i>(102), pp. 1-16.1072-6691https://hdl.handle.net/10877/12566We 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalBernoulli free-boundary problemConvex solutionsBorell's inequalityArticle