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arXiv · 1607.05101

Lower bounds for areas of images of discs

Ruslan Salimov·Bogdan Klishchuk
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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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Ruslan Salimov, Bogdan Klishchuk. 2016-06-28. Lower bounds for areas of images of discs. https://arxiv.org/abs/1607.05101

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