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Variable exponent Sobolev spaces with zero boundary values. (English) Zbl 1174.46322
Summary: We study different definitions of the first order variable exponent Sobolev space with zero boundary values in an open subset of $$\mathbb R^n$$.

MSC:
 4.6e+36 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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