Extremal decomposition problem for the complex plane with free poles on the circle

• Date: 2020
• Main Authors: Bakhtin , O. K., Vyhivska , L. V., Denega , I. V., Бахтін, О. К., Вигівська, Л. В., Денега, І. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6216
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We consider the problem of maximization of the product of inner radii of $n$ nonoverlapping domains, which are symmetric with respect to the unit circle, and the inner radius to the power $\gamma$ of a domain with respect to zero. We solve the problem for $n=2$ and $n=3$ and s...