Bonnesen-style inequality for the first eigenvalue on a complete surface of constant curvature

By Cheeger’s isoperimetric constants, some lower bounds and upper bounds of [Formula: see text] , the first eigenvalue on a complete surface of constant curvature, are given. Some Bonnesen-style inequalities and reverse Bonnesen-style inequalities for the first eigenvalue are obtained. Those Bonnese...

Descripción completa

Detalles Bibliográficos
Autores principales: Fang, Niufa, Zhou, Jiazu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5557883/
https://www.ncbi.nlm.nih.gov/pubmed/28860691
http://dx.doi.org/10.1186/s13660-017-1462-4
Descripción
Sumario:By Cheeger’s isoperimetric constants, some lower bounds and upper bounds of [Formula: see text] , the first eigenvalue on a complete surface of constant curvature, are given. Some Bonnesen-style inequalities and reverse Bonnesen-style inequalities for the first eigenvalue are obtained. Those Bonnesen-style inequalities obtained are stronger than the well-known Osserman’s results and the upper bound is stronger than Osserman’s results (Osserman in Proceedings of the International Congress of Mathematicians, Helsinki, 1978).

Ejemplares similares