Estimates on Eigenvalues for Quadratic Polynomial Operator of the Laplacian on a Hyperbolic Space

Xue-Ping Hou · Journal of Henan Normal University · 2013

Eigenvalues of quadratic polynomial operator of the Laplacian on a bounded domain in a hyperbolic space are studied.Applying the the Rayleigh-Ritz principle,we obtain estimates on the(k+1)th eigenvalue in terms of the first kth eigenvalue independent of the domains.

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