EDP : Aris Daniilidis (CMM, University of Chile , Santiago) : Lipschitz functions that saturate their Clarke subdifferential.
Bâtiment Sophie Germain, salle G210We prove that the set of Lipschitz functions with the property of having a maximal Clarke subdifferential at every point contains a linear subspace of uncountable dimension. Our approach is constructive. In particular, in strong contrast to a previous result