Abstract:
In the work we consider $Q$-homeomorphisms w.r.t $p$-modulus on the complex plane as $p>2$. We obtain a lower bound for the area of the image of a circle under such mappings. We solve the extremal problem on minimizing the functional of the area of the image of a circle.
Keywords:$p$-modulus of a family of curves, $p$-capacity of condenser, quasiconformal mappings, $Q$-homeomorphisms w.r.t. $p$-modulus.
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