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On density of \(C^\infty(\Omega)\) in Orlicz-Sobolev space \(W^k_M(\Omega)\) for every open set \(\Omega\subset R^n\)

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Publication:1234462
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zbMath0348.46026MaRDI QIDQ1234462

Henryk Hudzik

Publication date: 1977

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)



Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)


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Existence of radial solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\), Multiple solutions of double phase variational problems with variable exponent, Existence of entire solutions for a class of variable exponent elliptic equations, Double phase anisotropic variational problems and combined effects of reaction and absorption terms, On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)



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