Geodesic
Variable exponent Sobolev spaces with zero boundary values
Mathematica Bohemica, Tome 132 (2007) no. 2, pp. 125-136.

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We study different definitions of the first order variable exponent Sobolev space with zero boundary values in an open subset of ${\mathbb{R}^n}$.
DOI : 10.21136/MB.2007.134186
Classification : 46E35
Keywords: variable exponent; Sobolev space; zero boundary value 
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Harjulehto, Petteri. Variable exponent Sobolev spaces with zero boundary values. Mathematica Bohemica, Tome 132 (2007) no. 2, pp. 125-136. doi : 10.21136/MB.2007.134186. http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134186/

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