%0 Journal Article
%T The AE Theorem and addition theorems for quasi-convex functions
%A F. Reese Harvey
%A H. Blaine Lawson Jr
%J Mathematics
%D 2013
%I arXiv
%X The main point of this paper is to prove the following useful result: If the almost everywhere 2-jet of a locally quasi-convex function u satisfies a degenerate elliptic constraint F, then u is F-subharmonic, i.e., u is a viscosity F-subsolution. This AE Theorem makes otherwise difficult results transparent. Some instances of this are presented, including two versions of addition, and a comparison theorem.
%U http://arxiv.org/abs/1309.1770v2