In the paper we extend the Morse–Sard Theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) with n≥2 with under mild regularity assumptions on the critical set of u.
The Morse - sard theorem in Sobolev spaces in a borderline case
VAN DER PUTTEN, ROBERTUS
2012-01-01
Abstract
In the paper we extend the Morse–Sard Theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) with n≥2 with under mild regularity assumptions on the critical set of u.
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