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Sobolev type inequalities for compact metric graphs

In this paper analogues of Sobolev inequalities for compact and connected metric graphs are derived. As a consequence of these inequalities, a lower bound, commonly known as Cheeger inequality, on the first non-zero eigenvalue of the Laplace operator with standard vertex conditions is recovered.

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Библиографические подробности
Опубликовано в: :J Inequal Appl
Главный автор: Usman, Muhammad
Формат: Artigo
Язык:Inglês
Опубликовано: Springer International Publishing 2018
Предметы:
Online-ссылка:https://ncbi.nlm.nih.gov/pmc/articles/PMC6182407/
https://ncbi.nlm.nih.gov/pubmed/30363811
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1186/s13660-018-1872-y
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