Abstract
We establish a sharp integrability condition on the partial derivatives of a weakly monotone Sobolev function to guarantee differentiability almost everywhere.
Citation
Jani Onninen. "Differentiability of Monotone Sobolev Functions." Real Anal. Exchange 26 (2) 761 - 772, 2000/2001.
Information
Published: 2000/2001
First available in Project Euclid: 27 June 2008
zbMATH: 1055.46021
MathSciNet: MR1844392
Subjects:
Primary:
26B35
,
46E35
Keywords:
differentiability
,
Lorentz spaces
,
weakly monotonicity
Rights: Copyright © 2000 Michigan State University Press
