AN EXTREMAL PROBLEM ON NON-OVERLAPPING DOMAINS CONTAINING ELLIPSE POINTS

DOI10.32523/2077-9879-2021-12-4-82-91zbMath1499.30220OpenAlexW4285512464MaRDI QIDQ5067402

Iryna Viktorivna Denega, Yaroslav Zabolotnii

Publication date: 1 April 2022

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj424

zbMATH Keywords

Green functionquadratic differentialmutually non-overlapping domainsGoluzin theoreminner radius of the domain

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Cites Work

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• Extremal decomposition of the complex plane with restrictions for free poles
• Separating transformation and extremal problems on nonoverlapping simply connected domains
• Estimates of products of inner radii of non-overlapping domains in the complex plane
• Symmetrization in the geometric theory of functions of a complex variable
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Problem on extremal decomposition of the complex plane
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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