This article is cited in 2 papers

Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem

D. B. Katz

Kazan Federal University, 18 Kremlyovskaya str., Kazan 420008, Russia

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.

UDC: 517.53

MSC: 30E25

Received: 30.05.2018
Revised: 13.09.2018
Accepted: 15.09.2018

Language: English

DOI: 10.15393/j3.art.2018.5431

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