Document Zbl 1174.46322

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Variable exponent Sobolev spaces with zero boundary values. (English) Zbl 1174.46322

Math. Bohem. 132, No. 2, 125-136 (2007).

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

Cited in 38 Documents

MSC:

46E35

Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

variable exponent; Sobolev space; zero boundary value

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