Yet more on the differentiability of convex functions
John Rainwater · Proceedings of the American Mathematical Society · 1988
Generic differentiability theorems are obtained for convex functions which are defined and locally Lipschitzian on the convex subset N ( C ) N(C) of nonsupport points of a closed convex subset C C of a Banach space E E , which is assumed to be either an Asplund space (for Fréchet differentiability) or to be weakly compactly generated (for Gateaux differentiability).