<p>In this paper, using the isoperimetric method, the local and asymptotic properties of regular homeomorphisms at an arbitrary point in a domain of the complex plane have been studied. The results were applied to regular solutions of the nonlinear Beltrami equation.</p>

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On local properties of regular homeomorphisms

  • Mariia V. Stefanchuk

摘要

In this paper, using the isoperimetric method, the local and asymptotic properties of regular homeomorphisms at an arbitrary point in a domain of the complex plane have been studied. The results were applied to regular solutions of the nonlinear Beltrami equation.