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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 297–319 (Mi tm601)  
This article is cited in 10 scientific papers (total in 10 papers)

Sobolev Embedding Theorems for a Class of Anisotropic Irregular Domains

Boris V. Trushin

Moscow Institute of Physics and Technology
Full-text PDF (306 kB) Citations (10)
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Abstract: Sufficient conditions for the embedding of a Sobolev space in Lebesgue spaces on a domain depend on the integrability and smoothness parameters of the spaces and on the geometric features of the domain. In the present paper, Sobolev embedding theorems are obtained for a class of domains with irregular boundary; this class includes the well-known classes of $\sigma$-John domains, domains with the flexible cone condition, and their anisotropic analogs.
Received in May 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 287–309
DOI: https://doi.org/10.1134/S0081543808010203
Bibliographic databases:
UDC: 517.518.23
Language: Russian
Citation: Boris V. Trushin, “Sobolev Embedding Theorems for a Class of Anisotropic Irregular Domains”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 297–319; Proc. Steklov Inst. Math., 260 (2008), 287–309
Citation in format AMSBIB
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\paper Sobolev Embedding Theorems for a~Class of Anisotropic Irregular Domains
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
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\vol 260
\pages 297--319
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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