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June 2004 Continuity of Sobolev functions of variable exponent on metric spaces
Yoshihiro Mizuta, Tetsu Shimomura
Proc. Japan Acad. Ser. A Math. Sci. 80(6): 96-99 (June 2004). DOI: 10.3792/pjaa.80.96

Abstract

Our aim in this paper is to discuss continuity of Sobolev functions of variable exponent on metric spaces in the limiting case of Sobolev's imbedding theorem.

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Yoshihiro Mizuta. Tetsu Shimomura. "Continuity of Sobolev functions of variable exponent on metric spaces." Proc. Japan Acad. Ser. A Math. Sci. 80 (6) 96 - 99, June 2004. https://doi.org/10.3792/pjaa.80.96

Information

Published: June 2004
First available in Project Euclid: 13 May 2005

zbMATH: 1072.46506
MathSciNet: MR2075449
Digital Object Identifier: 10.3792/pjaa.80.96

Subjects:
Primary: 46E35

Keywords: $A_p$-weight , $p$-Poincaré inequality , differentiability , Hölder continuity , Sobolev's imbedding theorem of variable exponent , weighted Sobolev spaces

Rights: Copyright © 2004 The Japan Academy

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Vol.80 • No. 6 • June 2004
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