A Study of the Integrability of the Derivatives of the Solutions of the Conjugate (nonlinear) Beltrami Equation

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Abstract


In this article we study degenerate elliptic equations. Using integral representations for the function posessing generalised derivatives we prove theorems of existence of solutions of these equations in the class of quasiconformal mappings in the mean, and in the more general case. We prove higher integrability of the solutions of these equations in the case of the boundary degeneration.

About the authors

J V Terentieva

Kuban State University

Email: tuv86@mail.ru
Chair of «Theory of the functions»

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Copyright (c) 2013 Терентьева Ю.В.

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