EMBEDDING AND TRACE RESULTS FOR VARIABLE EXPONENT SOBOLEV AND MAZ'YA SPACES ON NON-SMOOTH DOMAINS
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Publication:2806144
DOI10.1017/S0017089515000282zbMath1360.46033OpenAlexW2335096783MaRDI QIDQ2806144
Publication date: 13 May 2016
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089515000282
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Cites Work
- Unnamed Item
- Variable Lebesgue spaces. Foundations and harmonic analysis
- A priori estimates for the difference of solutions to quasi-linear elliptic equations
- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- Trace results on domains with self-similar fractal boundaries
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- The trace to the boundary of Sobolev spaces on a snowflake
- Electrorheological fluids: modeling and mathematical theory
- Regularity results for stationary electro-rheological fluids
- Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion
- Boundary trace embedding theorems for variable exponent Sobolev spaces
- Sobolev embeddings, extensions and measure density condition
- Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
- A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions
- Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
- On traces of Sobolev functions on the boundary of extension domains
- A priori estimates for a class of quasi-linear elliptic equations
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)