Starshapedeness for fully-nonlinear equations in Carnot groups

Abstract

In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a natural notion of starshapedness has been introduced. Our main result is Theorem 1.2 below.Comment: Accepted for publication in the Journal of the London Mathematical Societ