Abstract
We prove some concavity properties connected to nonlinear Bernoulli type free boundary problems. In particular, we prove a Brunn–Minkowski inequality and an Urysohn’s type inequality for the Bernoulli Constant and we study the behavior of the free boundary with respect to the given boundary data. Moreover we prove a uniqueness result regarding the interior problem.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have