Journal of the Ramanujan Mathematical Society
Volume 29, Issue 2, June 2014 pp. 133–154.
Sharp upperbound and a comparison theorem for the first nonzero Steklov eigenvalue
Authors:
Binoy and G. Santhanam
Author institution:TIFR Center For Applicable Mathematics, Bangalore 560 065, India
Summary:
Let M denote either a noncompact rank-1 symmetric space
(M, ds2) such that -4 ≤ KM ≤
-1 or a complete, simply connected Riemannian manifold
(M, g) of dimension n with KM
≤ k where k = δ or 0. Let Ω be a
bounded domain in M with smooth boundary ∂
Ω = M and ν1(Ω) be the first nonzero Steklov
eigenvalue on Ω.
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