On a problem of nonoverlapping domains

Результат исследования: Материалы для журналаСтатья

2 Цитирования (Scopus)

Аннотация

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].

Язык оригиналаАнглийский
Страницы (с... по...)1119-1127
Количество страниц9
ЖурналSiberian Mathematical Journal
Том53
Номер выпуска6
DOI
Статус публикацииОпубликовано - 1 дек 2012

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ASJC Scopus subject areas

  • Mathematics(all)

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