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Revista Integración 2012
El problema de Steklov sobre el conoKeywords: steklov problem, cone, mean curvature. Abstract: let (mn, g) be a cone of height 0 ≤ xn+1 ≤ 1 en ?n+1, endowed with a rotationally invariant metric 2ds2 + ?2(s)dw2, where dw2 represents the standard metric on sn-1, the (n - 1)-dimensional unit sphere. assume ric(g) ≥ 0. in this paper we prove that if h > 0 is the mean curvature on ?m and v1 is the first eigenvalue of the steklov problem, then v1 ≥ h.
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