On spaces and
Czechoslovak Mathematical Journal (1991)
- Volume: 41, Issue: 4, page 592-618
- ISSN: 0011-4642
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topKováčik, Ondrej, and Rákosník, Jiří. "On spaces $L^{p(x)}$ and $W^{k, p(x)}$." Czechoslovak Mathematical Journal 41.4 (1991): 592-618. <http://eudml.org/doc/13956>.
@article{Kováčik1991,
author = {Kováčik, Ondrej, Rákosník, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lebesgue and Sobolev spaces with variable order of integrability; embedding theorems; Sobolev-type spaces; weak solution; nonlinear boundary value problem},
language = {eng},
number = {4},
pages = {592-618},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On spaces $L^\{p(x)\}$ and $W^\{k, p(x)\}$},
url = {http://eudml.org/doc/13956},
volume = {41},
year = {1991},
}
TY - JOUR
AU - Kováčik, Ondrej
AU - Rákosník, Jiří
TI - On spaces $L^{p(x)}$ and $W^{k, p(x)}$
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 592
EP - 618
LA - eng
KW - Lebesgue and Sobolev spaces with variable order of integrability; embedding theorems; Sobolev-type spaces; weak solution; nonlinear boundary value problem
UR - http://eudml.org/doc/13956
ER -
References
top- F. E. Browder, Problémes non-linéaires, Seminaire de Mathématiques superieures. Montréal, 1966. (1966) Zbl0153.17302MR0250140
- H. Hudzik, The problems of separability, duality, reflexivity and of comparision for generalized Orlicz-SoboIev space , Comment. Math. 21 (1979), 315-324. (1979) MR0577521
- A. Kozek, Convex integral functionals on Orlicz spaces, Comment. Math. 21 (1980), 109-135. (1980) MR0577677
- M. A. Krasnoseľskii, Topological methods in the theory of nonlinear integral equations, (Russian) Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956. English transl.: Pergamon Press Book, The Macmillan Co., New York, 1964. (1956) MR0159197
- M. A. Krasnoseľskii, Ya. B. Rutickii, Convex functions and Orlicz spaces, (Russian) Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow. 1958. English transl.: P. Noordhoff, Groningen, 1961. (1958) MR0126722
- J.Musielak, Orlicz spaces and modular spaces, Springer-Verlag, Berlin, 1983. (1983) Zbl0557.46020MR0724434
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- J. J. Manfredi, J. D. Rossi, J. M. Urbano, -harmonic functions with unbounded exponent in a subdomain
- Michael Růžička, Modeling, mathematical and numerical analysis of electrorheological fluids
- Ghasem A. Afrouzi, Shaeid Shokooh, Nguyen T. Chung, Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces
- Gerardo R. Chacón, Gerardo A. Chacón, Variable exponent Fock spaces
- Hans-Gerd Leopold, Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration
- Sungchol Kim, Dukman Ri, Existence of weak solutions for elliptic Dirichlet problems with variable exponent
- Hichem Khelifi, Youssef El Hadfi, New nonlinear Picone identities with variable exponents and applications
- Mitsuo Izuki, Yoshihiro Sawano, Variable Lebesgue norm estimates for BMO functions
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This topic has recently became quite popular. A lot of information can be found on the web site of the Research group on variable exponent spaces and image processing http://www.helsinki.fi/~pharjule/varsob/index.shtml.
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