Extremal Problem for the Area of the Image of a Disk


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We study metric properties of ring Q-homeomorphisms with respect to the p-modulus, p > 2, in the complex plane and establish lower bounds for the areas of disks. An extremal problem concerning minimization of the area functional is also solved.

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R. Salimov

Mathematical Institute of NASU

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Email: ruslan.salimov1@gmail.com
乌克兰, Kiev

B. Klishchuk

Mathematical Institute of NASU

Email: ruslan.salimov1@gmail.com
乌克兰, Kiev

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