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Capacity relations in a flat quadrilateral

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Abstract

We consider the relationship between the p-capacity of the pairs of opposite sides of a flat quadrilateral and the resultant class of extremal mappings.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. S. Romanov

Authors
  1. A. S. Romanov
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Correspondence to A. S. Romanov.

Additional information

Original Russian Text Copyright © 2008 Romanov A. S.

The author was partially supported by the Russian Foundation for Basic Research (Grant 08-01-00531-a), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-5682.2008.1), and the Integration Grant (No. 117; 2006) of the Siberian Division of the Russian Academy of Sciences.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 886–897, July–August, 2008.

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Romanov, A.S. Capacity relations in a flat quadrilateral. Sib Math J 49, 709–717 (2008). https://doi.org/10.1007/s11202-008-0068-y

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  • DOI: https://doi.org/10.1007/s11202-008-0068-y

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