Abstract
In a domain Omega subset of R-n whose boundary is smooth except on a set C of codimension (in partial derivative Omega) k, the behavior of a nonparametric prescribed mean curvature hypersurface z = f (x) in the vertical cylinder Omega x R at a point O is an element of C can be largely unknown when n >= 3, depending on the type of boundary condition f satisfies. In a previous note, the authors considered an example in which n = 3 and k = 2; that is, when C is a (nonconvex) conical point on partial derivative Omega. Here, we consider prescribed mean curvature boundary value problems which are rotationally symmetric and investigate the behavior of variational solutions near a point P is an element of C when n = 3 and k = 1.