Density of smooth functions in weighted Sobolev spaces with variable exponent

DOI10.1134/S1064562414020045zbMath1315.46039OpenAlexW2322940471MaRDI QIDQ461889

Mikhail D. Surnachev

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414020045

zbMATH Keywords

weighted Sobolev spacesdensity of smooth functionsweighted Sobolev spaces with variable exponent

Mathematics Subject Classification ID

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)

Related Items (5)

Weighted Sobolev spaces on metric measure spaces ⋮ New examples on Lavrentiev gap using fractals ⋮ Lavrentiev gap for some classes of generalized Orlicz functions ⋮ Non-autonomous functionals, borderline cases and related function classes ⋮ On density of smooth functions in weighted Sobolev spaces with variable exponents

Cites Work

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• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Density of smooth functions in weighted Sobolev spaces
• Lebesgue and Sobolev spaces with variable exponents
• On Lavrentiev's phenomenon
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Weighted Sobolev spaces
• Regularity of nonstandard lagrangians ƒ(x, ξ)
• On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
• H = W
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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