On the structure of singular sets of convex functions
- Cite this article as:
- Alberti, G. Calc. Var (1994) 2: 17. doi:10.1007/BF01234313
Whenf is a convex function ofRh, andk is an integer with 0<k<h, then the setσk(f)=x:dim(∂f(x)k may be covered by countably many manifolds of dimensionh−k and classC2 except anℋh−k negligible subset.
Mathematics subject classification26B25 Primary 26B05 49Q15 52A20