Branching extremals of the functional of $ \lambda$-normed lengthстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 1 июля 2014 г.
Аннотация:Networks on λ-normed planes are considered, that is, on normed planes for which the unit circle is a regular 2λ-gon. A geometric criterion is given for an arbitrary tree to be extremal on the λ-normed plane, where λ≠2,3,4,6. Problems of λ-minimal (extremal) realization of an arbitrary network and of convergence of λ-extremal networks as λ→∞ are also considered.