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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2008 Volume 49, Number 4, Pages 886–897 (Mi smj1886)

This article is cited in 16 papers

Capacity relations in a flat quadrilateral

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

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.

Keywords: capacity, modulus, extremal function.

UDC: 517.51

Received: 29.02.2008


 English version:
Siberian Mathematical Journal, 2008, 49:4, 709–717

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© Steklov Math. Inst. of RAS, 2026