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

Electronic Journal of Differential Equations

关键词: Bernoulli free-boundary problem;    convex solutions;    Borell's inequality.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown