On the Spaces Lp(x)(Ω) and Wm, p(x)(Ω)
By Xianling Fan, Dun Zhao. 2001
1,607 citations recorded by the source corpus.
In this paper we present some basic results on the generalized Lebesgue spaces L-p(x)(Omega) and generalized Lebesgue-Sobolev spaces W-m,W-p(x)(Omega). These results provide the necessary framework for the study of variational problems and elliptic equations with non-standard p(x)-growth conditions. (C) 2001 Academic Press.
Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/4834c043552f6183d07c40eb1d371a43c74a71ca
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In Applied Mathematics
- Dachun Yang
- Wen Yuan
- P. Hasto
- Vicentiu D. Rădulescu
- D. Cruz-Uribe
- Petteri Harjulehto
- Dušan D. Repovš
- Jun Liu
In Computational Mechanics
- P. Hasto
- Analía Silva
- Dušan D. Repovš
- Petteri Harjulehto
- S. Bahrouni
- L. S. Tavares
- R. Akgün
- Zehra Yücedağ
In Computational Theory and Mathematics
- Vicentiu D. Rădulescu
- Dušan D. Repovš
- P. Hasto
- Petteri Harjulehto
- Anouar Bahrouni
- K. Kefi
- D. Cruz-Uribe
- Dachun Yang
Citations in the corpus
- Basic results of fractional Orlicz-Sobolev space and applications to non-local problems (2019, methodology): “We refer the reader to [15, 16, 30, 31, 37] for more details on Sobolev space with variable exponent.”
- The fractional maximal operator and fractional integrals on variable $L^p$ spaces (2007, background): “In the past decade they have been considered by a number of authors; see for example [1, 9, 11, 12, 13, 17, 18, 20, 22, 26, 28, 31] and the references they contain.”