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Matematicheskie Zametki, 2006, Volume 79, Issue 5, Pages 767–778
DOI: https://doi.org/10.4213/mzm2748 (Mi mzm2748) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Embedding of Sobolev space in Orlicz space for a domain with irregular boundary

Boris V. Trushin

Moscow Institute of Physics and Technology
Full-text PDF (284 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm2748
Abstract: In this paper, we establish the embedding of a weighted Sobolev space in an Orlicz space for a domain with irregular boundary. We find an estimate of the order of growth of the $N$-function (defining the Orlicz space) and show that, under certain additional constraints on the weights, this estimate is sharp. We also establish the embedding in the space of continuous functions.
Received: 16.05.2002
English version:
Mathematical Notes, 2006, Volume 79, Issue 5, Pages 707–718
DOI: https://doi.org/10.1007/s11006-006-0080-0
Bibliographic databases:
UDC: 517.518.232
Language: Russian
Citation: Boris V. Trushin, “Embedding of Sobolev space in Orlicz space for a domain with irregular boundary”, Mat. Zametki, 79:5 (2006), 767–778; Math. Notes, 79:5 (2006), 707–718
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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