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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 40–49
DOI: https://doi.org/10.15393/j3.art.2018.5431 (Mi pa232) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem

D. B. Katz

Kazan Federal University, 18 Kremlyovskaya str., Kazan 420008, Russia
Full-text PDF (638 kB) Citations (2)
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DOI: https://doi.org/10.15393/j3.art.2018.5431
Abstract: We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations. One more idea is to obtain analogs of some classical theorems for such equations.
Keywords: fractals, non-rectifiable curves, boundary value problem, Riemann boundary value problem.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00060
This work was supported by RFBR grant 18-31-00060.
Received: 30.05.2018
Revised: 13.09.2018
Accepted: 15.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30E25
Language: English
Citation: D. B. Katz, “Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 40–49
Citation in format AMSBIB
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\by D.~B.~Katz
\paper Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\pages 40--49
\issueinfo special issue
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\crossref{https://doi.org/10.15393/j3.art.2018.5431}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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