Lower bounds for areas of images of discs

2016/06/28 by Руслан Салімов, Salimov, Ruslan, Богдан Кліщук +1
Mathematics · #Analytic and geometric function theory #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1607.05101

Abstract

In this article we consider Q-homeomorphisms with respect to the p-modulus on the complex plane with p>2. It is obtained a lower area estimate for image of discs under such mappings. We solved the extremal problem about minimization of the area functional of images of discs.

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