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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 1, Pages 23–39
DOI: https://doi.org/10.4213/faa229 (Mi faa229) 		 
This article is cited in 27 scientific papers (total in 27 papers)

To the Problem of Passage to the Limit in Divergent Nonuniformly Elliptic Equations

V. V. Zhikov

Vladimir State Pedagogical University
Full-text PDF (208 kB) Citations (27)
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DOI: https://doi.org/10.4213/faa229
Abstract: A weighted Sobolev space is constructed in which smooth functions are not dense and their closure is of codimension one. With the help of this weighted space, counterexamples are constructed to natural hypotheses on the passage to the limit in non-uniformly-elliptic equations and on the structure of the limit equation.
Received: 27.08.1999
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 1, Pages 19–33
DOI: https://doi.org/10.1023/A:1004168415999
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Zhikov, “To the Problem of Passage to the Limit in Divergent Nonuniformly Elliptic Equations”, Funktsional. Anal. i Prilozhen., 35:1 (2001), 23–39; Funct. Anal. Appl., 35:1 (2001), 19–33
Citation in format AMSBIB
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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