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Embeddings of Anisotropic Sobolev Spaces
Archive for Rational Mechanics and Analysis, 1986This paper deals with the approximation and the entropy numbers of the embedding I of an anisotropic Sobolev space \(W^{r,p}(\Omega)\) into an Orlicz space \(L^{\phi}(\Omega)\), where \(\Omega\) is an open subset of \({\mathbb{R}}^ n\).
Edmunds, D. E., Edmunds, R. M.
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On one generalization of Sobolev spaces
Siberian Mathematical Journal, 1998In [Potential Anal. 5, No. 4, 403-415 (1996; Zbl 0859.46022)], \textit{P. Hajłasz} defined the Sobolev space \(S^1_p(X)\) on an arbitrary metric space.
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American Journal of Mathematics, 2019
:Though there has been extensive study on Hardy-Sobolev-Maz'ya inequalities on upper half spaces for first order derivatives, whether an analogous inequality for higher order derivatives holds has still remained open.
Guozhen Lu, Qiaohua Yang
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:Though there has been extensive study on Hardy-Sobolev-Maz'ya inequalities on upper half spaces for first order derivatives, whether an analogous inequality for higher order derivatives holds has still remained open.
Guozhen Lu, Qiaohua Yang
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Functional Analysis, Sobolev Spaces and Partial Differential Equations
, 2010H. Brezis
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Lebesgue and Sobolev Spaces with Variable Exponents
, 2011L. Diening +3 more
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Ordinary differential equations, transport theory and Sobolev spaces
, 1989R. J. Diperna, P. Lions
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