Abstract:
We study metric properties of the ring $Q$-homeomorphisms with respect to the $p$-modulus, $p>2$, in the complex plane and establish lower bounds for the areas of disks. The extremal problem concerning minimization of the area functional is also solved.
Key words and phrases:ring $Q$-homeomorphism, $p$-modulus of families of curves, capacitor, $p$-capacitance of a capacitor, area functional.
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