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Journal Articles Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. Year : 2015

A Sobolev non embedding

Abstract

If $\Omega$ is a bounded domain in ${\mathbb R}^n$, $1\le q$<$p\le\infty$ and $s=0,1,2,\ldots$, then clearly $W^{s,p}(\Omega)\subset W^{s,q}(\Omega)$. We prove that this property does not hold when $s$ is not an integer.
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Dates and versions

hal-01162231 , version 1 (09-06-2015)

Identifiers

  • HAL Id : hal-01162231 , version 1

Cite

Petru Mironescu, Winfried Sickel. A Sobolev non embedding. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 2015, 26 (3), pp.291--298. ⟨hal-01162231⟩
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