On a problem of nonoverlapping domains

被引：2
|
作者：
Pchelintsev, V. A. [1 ]
机构：
[1] Tomsk State Univ, Tomsk 634050, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 06期
关键词：
functional; nonoverlapping domains; range; method of internal variations; parametric method; elliptic integrals;
D O I：
10.1134/S003744661206016X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the problem of finding the range E of some functional on the class of pairs of functions univalent in the system of the disk and the interior of the disk for the arbitrary parameters characterizing the functional. We prove that E is connected and bounded. Using the method of internal variations and the parametric method, we find the equation of the boundary of E. The obtained results extend Lebedev's study [1].
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页码：1119 / 1127
页数：9
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