New inequalities are established for Dirichlet Laplacian eigenvalues on hyperbolic space, verifying Cheng's conjecture up to an epsilon loss for two special bounded domains.
Chavel, Eigenvalues in Riemannian Geometry, Academic Press, New York, 1984
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New inequalities for eigenvalues of the Dirichlet Laplacian on the hyperbolic space
New inequalities are established for Dirichlet Laplacian eigenvalues on hyperbolic space, verifying Cheng's conjecture up to an epsilon loss for two special bounded domains.