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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 293–303
DOI: https://doi.org/10.1134/S0371968515030243 (Mi tm3652) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains

A. Yu. Golovko

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (213 kB) Citations (5)
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DOI: https://doi.org/10.1134/S0371968515030243
Abstract: For irregular domains $G\subset \mathbb R^n$ satisfying the flexible $\sigma $-cone condition, we establish embedding theorems and Gagliardo–Nirenberg type multiplicative inequalities that are anisotropic with respect to the order of derivatives and integrability exponents.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 277–287
DOI: https://doi.org/10.1134/S0081543815060243
Bibliographic databases:
Document Type: Article
UDC: 517.518.232
Language: Russian
Citation: A. Yu. Golovko, “Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 293–303; Proc. Steklov Inst. Math., 290:1 (2015), 277–287
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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