Estimates of the products of inner radii for partially nonoverlapping domains of the complex plane
- Авторлар: Dvorak I.1
-
Мекемелер:
- Institute of Mathematics of the National Academy of Sciences of Ukraine
- Шығарылым: Том 241, № 1 (2019)
- Беттер: 36-46
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242853
- DOI: https://doi.org/10.1007/s10958-019-04405-8
- ID: 242853
Дәйексөз келтіру
Аннотация
Two problems of description of extremal configurations maximizing a product of the inner radii of mutually nonoverlapping domains are studied. One of the problems is analyzed in a more general situation: instead of nonoverlapping domains, the domains under the condition of partial disjointness are considered. The well-known problem posed in the work by V. N. Dubinin in 1988 is solved by Theorems 1 and 2. We study also the problem of maximum of a functional with the additional condition of symmetry defined by the domain G0. Theorems 3 and 4 give its partial solution.
Авторлар туралы
Inna Dvorak
Institute of Mathematics of the National Academy of Sciences of Ukraine
Хат алмасуға жауапты Автор.
Email: dvorakinna@gmail.com
Украина, Kyiv