RT Journal Article
T1 Nonsmooth Morse–Sard theorems
A1 Azagra Rueda, Daniel
A1 Ferrera Cuesta, Juan
A1 Gómez Gil, Javier
AB 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.
PB Elsevier
SN 0362546X
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17898
UL https://hdl.handle.net/20.500.14352/17898
LA eng
DS Docta Complutense
RD 19 jul 2025