On the Morse–Sard property and level sets of Wn,1 Sobolev functions on ℝn
We establish Luzin N and Morse–Sard properties for functions from the Sobolev space Wn,1(Rn). Using these results we prove that almost all level sets are finite disjoint unions of C1-smooth compact manifolds of dimension n - 1. These results remain valid also within the larger space of functions of...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
De Gruyter
2013
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