Upper Bounds for the First Eigenvalue of a Jacobi Type Operator Via Anisotropic Mean Curvatures
Results in Mathematics(2015)
Abstract
Our purpose in this article is to obtain sharp upper estimates for the first 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 in the Euclidean space, through its anisotropic mean curvatures.
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Key words
k th anisotropic mean curvatures
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