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Algebra i Analiz, 2015, Volume 27, Issue 3, Pages 220–237 (Mi aa1442)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Narrow domains and the Harnack inequality for elliptic equations

M. V. Safonov

School of Mathematics, University of Minnesota, USA
Full-text PDF (261 kB) Citations (2)
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Abstract: We present a direct proof of Moser's Harnack inequality that does not involve iterations. The method is based on a recursive estimate for solutions in domains of small measure. Such estimates can also be useful for other applications.
Keywords: second-order elliptic equations, Harnack inequality, measurable coefficients.
Received: 19.02.2015
English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 3, Pages 509–522
DOI: https://doi.org/10.1090/spmj/1401
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. V. Safonov, “Narrow domains and the Harnack inequality for elliptic equations”, Algebra i Analiz, 27:3 (2015), 220–237; St. Petersburg Math. J., 27:3 (2016), 509–522
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:433
    Full-text PDF :118
    References:83
    First page:23
     
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