An approximation of Hedberg's type in Sobolev spaces with variable exponent and application

DOI10.1155/2014/549051zbMath1307.35101OpenAlexW2167945022WikidataQ59036453 ScholiaQ59036453MaRDI QIDQ463231

Aziz Fri, Abdelmoujib Benkirane, Mostafa El Moumni

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/549051

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Reaction-diffusion equations (35K57) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Cites Work

• A generalization of a theorem of H.Brezis \& F.E.Browder and applications to some unilateral problems
• Two approximation problems in function spaces
• A strongly nonlinear elliptic boundary value problem
• Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications
• Bessel potential spaces with variable exponent
• A property of sobolev spaces
• Boundary Value Problems for Strongly Nonlinear Elliptic Equations
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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