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The space Ωmp(Rd) and some properties

✍ Scribed by A. Sandikçi; A. T. Gürkanli


Book ID
106553572
Publisher
Springer
Year
2006
Tongue
English
Weight
513 KB
Volume
58
Category
Article
ISSN
0041-5995

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On the Spaces Lp(x)(Ω) and Wm, p(x)
✍ Xianling Fan; Dun Zhao 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 157 KB

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 cond