Geodesic
Lower bounds for the area of the image of a circle
Ufa mathematical journal, Tome 9 (2017) no. 2, pp. 55-61

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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. 
@article{UFA_2017_9_2_a4,
     author = {B. A. Klishchuk and R. R. Salimov},
     title = {Lower bounds for the area of  the image of a circle},
     journal = {Ufa mathematical journal},
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     url = {http://geodesic.mathdoc.fr/item/UFA_2017_9_2_a4/}
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B. A. Klishchuk; R. R. Salimov. Lower bounds for the area of  the image of a circle. Ufa mathematical journal, Tome 9 (2017) no. 2, pp. 55-61. http://geodesic.mathdoc.fr/item/UFA_2017_9_2_a4/