Sharp Upper Estimates for the First Eigenvalue of a Jacobi Type Operator

• H.F. de Lima ^[1] ; A.F. de Sousa ^[2] ; F.R. dos Santos ^[1] ; M.A.L. Velásquez ^[1]
  1. [1] Universidade Federal de Campina Grande

     Universidade Federal de Campina Grande

     Brasil

     
  2. [2] Universidade Federal de Pernambuco

     Universidade Federal de Pernambuco

     Brasil

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 31, Nº 1, 2016, págs. 68-88
• Idioma: inglés
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• Resumen

  • Our purpose in this article is to obtain sharp upper estimates for the rst positive eigenvalue of a Jacobi type operator, which is a suitable extension of the linearized operators of the higher order mean curvatures of a closed hypersurface immersed either in the Euclidean space or in the Euclidean sphere.