A simple proof of the Morse-Sard theorem in Sobolev spaces

Abstract

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.

Locations

• Proceedings of the American Mathematical Society - View - PDF