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April, 2007 On the density of continuous functions in variable exponent Sobolev space
Peter A. Hästö
Rev. Mat. Iberoamericana 23(1): 213-234 (April, 2007).

Abstract

In this article we give new conditions for the density of continuous or smooth functions in variable exponent Sobolev spaces. Our first result combines the previously known sufficient conditions, a monotony condition by Edmunds and R#x00E1;kosn#x00ED;k and a continuity condition independently due to Samko and Diening, into a single weaker condition. The second main result gives a sufficient condition in terms of the regularity of the level-sets of the variable exponent.

Citation

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Peter A. Hästö. "On the density of continuous functions in variable exponent Sobolev space." Rev. Mat. Iberoamericana 23 (1) 213 - 234, April, 2007.

Information

Published: April, 2007
First available in Project Euclid: 1 June 2007

zbMATH: 1144.46031
MathSciNet: MR2351132

Subjects:
Primary: 46E35
Secondary: 26A15

Rights: Copyright © 2007 Departamento de Matemáticas, Universidad Autónoma de Madrid

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