%0 Journal Article
%A Azagra Rueda, Daniel
%A Ferrera Cuesta, Juan
%A Gómez Gil, Javier
%T Nonsmooth Morse–Sard theorems
%D 2017
%@ 0362546X
%U https://hdl.handle.net/20.500.14352/17898
%X We prove that every function f:Rn→R satisfies that the image of the set of critical points at which the function f has Taylor expansions of order n−1 and non-empty subdifferentials of order n is a Lebesgue-null set. As a by-product of our proof, for the proximal subdifferential ∂P, we see that for every lower semicontinuous function f:R2→R the set f({x∈R2:0∈∂Pf(x)}) is L1-null.
%~