American Journal of Mathematics, Vol. 138, No. 2 (April 2016), pp. 499-527 (29 pages) This paper deals with some geometrical properties of solutions of some semilinear elliptic equations in bounded ...

We prove the following: Given a subset X of a compact 0-dimensional metric space Z and an integer d ≥ 3, there is a homeomorphism of Z into the boundary of a convex body C in Ed mapping X onto the set ...