Density of C∞(Ω) inW1,p (x )(Ω) with discontinuous exponent p (x )

DOI10.1002/mana.200310351zbMath1100.46020OpenAlexW1992373736MaRDI QIDQ5469051

Dun Zhao, Suyun Wang, Xian-Ling Fan

Publication date: 16 May 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310351

zbMATH Keywords

densitygeneralized Sobolev spacevariable exponentLavrentiev phenomenon

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 (13)

On the solution of evolution p(.)-Bilaplace equation with variable ⋮ Iterated maximal functions in variable exponent Lebesgue spaces ⋮ A concave-convex problem with a variable operator ⋮ Harnack inequality for the elliptic \(p(x)\)-Laplacian with a three-phase exponent \(p(x)\) ⋮ Nonlinear parabolic problems in Musielak-Orlicz spaces ⋮ Unnamed Item ⋮ A Harnack inequality for a transmission problem withp(x)-Laplacian ⋮ Density of smooth functions in variable exponent Sobolev spaces ⋮ Minimizers of the variable exponent, non-uniformly convex Dirichlet energy ⋮ Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems ⋮ Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations ⋮ Function spaces of variable smoothness and integrability ⋮ Density properties for fractional Sobolev spaces with variable exponents

Cites Work

• Electrorheological fluids: modeling and mathematical theory
• Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)

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