Calculus of Variations and Geometric Measure Theory

A. Figalli

A simple proof of the Morse-Sard Theorem in Sobolev Spaces

created by figalli on 28 Aug 2007


Accepted Paper

Inserted: 28 aug 2007

Journal: Proc. Amer. Math. Soc.
Year: 2007


In this paper we give a new simple proof of a result of Luigi De Pascale, which states that the Morse-Sard Theorem holds under the hypothesis of Sobolev regularity. Moreover, as our proof is independent of the Morse-Sard Theorem with $C^k$ regularity, our result implies the classical Morse-Sard Theorem.