This article is cited in 5 papers

On the theory of degenerate alternating Beltrami equations

A. N. Kondrashov

Institute of Mathematics and Computer Science, Volgograd State University, Volgograd, Russia

Abstract: The article focuses on the equation
$$ A(z)f_z(z)+B(z)f_{\bar z}(z)=0. $$
We aim at the study of the interrelation between the solutions to this equation and the solutions to the appropriate classical Beltrami equation.

Keywords: degenerate Beltrami equation, alternating Beltrami equation, folds.

UDC: 514.752.44+514.772

Received: 21.12.2011

 English version: Siberian Mathematical Journal, 2012, 53:6, 1061–1074

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