Extremal problems of nonoverlapping domains with free poles on a circle

• Date: 2006
• Main Authors: Bakhtin, A. K., Бахтин, А. К.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3503
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $α_1, α_2 > 0$ and let $r(B, a)$ be the interior radius of the domain $B$ lying in the extended complex plane $\overline{ℂ}$ relative to the point $a ∈ B$. In terms of quadratic differentials, we give a complete description of extremal configurations in the problem of maximization of the...