The Morse-Sard Theorem in Sobolev spaces
By L. De Pascale. 2001
57 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/6f2fe3adf034c8b5acb4ca9b6f38dd302f7bfd88
How researchers see this paper
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In Applied Mathematics
- Gianluca Crippa
- Jan Kristensen
- Giovanni S. Alberti
- Jean Bourgain
- M. Korobkov
- Alessio Figalli
- Guido De Philippis
- Stefano Bianchini
In Computational Theory and Mathematics
- Gianluca Crippa
- Alessio Figalli
- M. Korobkov
- Jan Kristensen
- Stefano Bianchini
- Jean Bourgain
- Giovanni S. Alberti
- Giuseppe Mingione
Citations in the corpus
- Sard's theorem for mappings in Hölder and Sobolev spaces (2005, unknown): “De Pascale [21]: iff ∈ Wk,p(R, R)with k = m−n+1 ≥ 2 andp > m, thenHn(f ( Crit f )) = 0.”
- A simple proof of the Morse-Sard theorem in Sobolev spaces (2008, methodology): “Here we give a simple proof of the result in [3].”
- On the Morse-Sard Property and Level Sets of Sobolev and BV Functions (2010, methodology): “In particular, we mention the work [12] of De Pascale (see also [17])”
- Structure of level sets and Sard-type properties of Lipschitz maps (2013, methodology): “2 For Sard’s Theorem for maps of class C(1,1) see [2], for maps in the Sobolev class W 2,p see [4, 5, 10].”