Métricas rotacionalmente invariantes y el
problema de Steklov

ÓSCAR ANDRÉS MONTAÑO CARREÑO^*
Universidad del Valle, Departamento de Matemáticas, Cali, Colombia.

Resumen Bajo condiciones en el signo de la curvatura de Ricci, encontramos cotas para el primer valor propio de Steklov en una bola n-dimensional dotada con una métrica rotacionalmente invariante.

Palabras claves: Valor propio de Steklov, métrica rotacionalmente invariante, curvatura de Ricci.
MSC2010: 35P15, 53C20, 53C42, 53C43.

Rotationally invariant metrics and the Steklov problem

Abstract Under conditions on the sign of the Ricci curvature, we find bounds for the first Steklov eigenvalue, in a n-dimensional ball endowed with a rotationally invariant metric.

Keywords: Steklov eigenvalue, rotationally invariant metric, Ricci curvature.

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^*Email: oscar.montano@correounivalle.edu.co
Recibido: 26 de febrero de 2014, Aceptado: 02 de mayo de 2014.
Para citar este artículo: O.A. Montaño Carreño, Métricas rotacionalmente invariantes y el problema de
Sketlov, Rev. Integr. Temas Mat. 32 (2014), no. 2, 117-128.