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On the Spaces Lp(x)(Ω) and Wm, p(x)(Ω)

✍ Scribed by Xianling Fan; Dun Zhao

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
157 KB
Volume
263
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we present some basic results on the generalized Lebesgue spaces pŽ x . Ž .

m, pŽ x . Ž . L ⍀ and generalized Lebesgue᎐Sobolev spaces W ⍀ . These results provide the necessary framework for the study of variational problems and elliptic Ž . equations with non-standard p x -growth conditions.

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