The extremal problem for the area of an image of a disc
DOI:
https://doi.org/10.15407/dopovidi2016.10.022Keywords:
area functional, capacitor, p-capacitance of a capacitor, p-modulus of a family of curves, ring Q-homeomorphismsAbstract
We study the ring Q-homeomorphisms with respect to p-modulus, p ˃ 2, in the complex plane and establish lower bounds for the area of an image of a disc. The extremal problem concerning a minimization of the area functional is solved.
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