Continuity of weakly monotone Sobolev functions of variable exponent

VOL. 44 | 2006 Continuity of weakly monotone Sobolev functions of variable exponent

Chapter Author(s) Toshihide Futamura, Yoshihiro Mizuta

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Adv. Stud. Pure Math., 2006: 127-143 (2006) DOI: 10.2969/aspm/04410127

Abstract

Our aim in this paper is to deal with continuity properties for weakly monotone Sobolev functions of variable exponent.

Published: 1 January 2006

First available in Project Euclid: 16 December 2018

MathSciNet: MR2277828

Digital Object Identifier: 10.2969/aspm/04410127

Subjects:

Primary: 30C65 , 31B15 , 46E35

Keywords: 0-Hölder continuous , capacity , tangential boundary limits , weakly monotone Sobolev functions of variable exponent

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Vol. 44 • 1 January 2006

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Mathematical Society of Japan