Multiplicative inequalities in regions with noncompact boundary

Exact embedding theorems of the multiplicative type are established for functions of Sobolev spaces defined in a domain Ω ⸦ Rn, п ≥ 2, whose boundary is not compact. The main condition on the domain is of the isoperimetric type.

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Datum:1992
Hauptverfasser: Tedeev , A. F., Тедеев , А. Ф.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7840
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:Exact embedding theorems of the multiplicative type are established for functions of Sobolev spaces defined in a domain Ω ⸦ Rn, п ≥ 2, whose boundary is not compact. The main condition on the domain is of the isoperimetric type.