Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024706 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 17 Pages |
Abstract
We prove that every function f:RnâR satisfies that the image of the set of critical points at which the function f has Taylor expansions of order nâ1 and non-empty subdifferentials of order n is a Lebesgue-null set. As a by-product of our proof, for the proximal subdifferential âP, we see that for every lower semicontinuous function f:R2âR the set f({xâR2:0ââPf(x)}) is L1-null.
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Authors
D. Azagra, J. Ferrera, J. Gómez-Gil,