Sharp differentiability results for lip
  We give a sharp condition on the lower local Lipschitz constant of a mapping from a metric space supporting a Poincar\'e inequality to a Banach space with the Radon-Nikodym property that guarantees differentiability at almost every point. We apply these results to obtain a non-embedding theorem for a corresponding class of mappings. 
Kevin Wildrick and Thomas Z\"urcher
math.MG math.CA