On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
From MaRDI portal
Publication:5955043
DOI10.1006/jmaa.2000.7617zbMath1028.46041OpenAlexW2034447457MaRDI QIDQ5955043
Publication date: 7 February 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.7617
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Lua error: not enough memory.
Cites Work
- Orlicz spaces and modular spaces
- A generalization of Sobolev spaces. I
- On density of \(C^\infty(\Omega)\) in Orlicz-Sobolev space \(W^k_M(\Omega)\) for every open set \(\Omega\subset R^n\)
- A genalization of Sobolev space. II
- On generalized Orlicz-Sobolev space
- On continuity of the imbedding operation from \(W^k_{M_1}(\Omega)\) into \(W^k_{M_2}(|Omega)\)
- Density of \(C^\infty_0(R^n)\) in generalized Orlicz-Sobolev space \(W^k_MW(R^n)\)
- The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- A class of De Giorgi type and Hölder continuity
- Regularity of nonstandard lagrangians ƒ(x, ξ)
- The regularity of Lagrangiansf(x, ξ)=254-01254-01254-01with Hölder exponents α(x)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item