Abstract The present article is concerned with solving Bernoulli’s exterior free boundary problem in the case of an interior that random. We provide a new regularity result on map sends parametrization inner to outer boundary. Moreover, assuming convex, also which enables identify boundaries support functions and determine their expectations. particular construct confidence region for based Aum...

Abstract We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. show that general, sense domain variations, following alternative holds: either shape branch resembles monotone one model case two-dimensional disk, or it is a continuous simple curve without points which ends up at point where density vanishes. On other hand...