Abstract

GARCIA, GONZALO  and  MONTANO, ÓSCAR. A Lower Bound for the First Steklov Eigenvalue on a Domain. Rev.colomb.mat. [online]. 2015, vol.49, n.1, pp.95-104. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v49n1.54166.

In this paper we provide a lower bound for the first eigenvalue of the Steklov problem in a star-shaped bounded domain in Rⁿ. This result extends to higher dimensions a lower estimate of Kuttler-Sigillito in a two dimensional star-shaped bounded domain.

Keywords : Eigenvalue; Lower bound; The Steklov problem.

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