When $f$ is a convex function of $R^h$, and $k$ is an integer with $0<k<h$, then the set $\Sigma^k(f)$ of all points $x$ where the subdifferential of $f$ has dimension at least $k$ can be covered by countably many embedded surfaces of dimension $h-k$ and class $C^2$ (except for an ${\cal H}^{h-k}$ negligible subset).
On the structure of singular sets of convex functions
ALBERTI, GIOVANNI
1994-01-01
Abstract
When $f$ is a convex function of $R^h$, and $k$ is an integer with $0File in questo prodotto:
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