Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1)
classification
🧮 math.DG
math.SP
keywords
biharmonicboundeddomaineigenvalueeigenvaluesoperatorboundsconsider
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In this paper, we consider eigenvalues of the Dirichlet biharmonic operator on a bounded domain in a hyperbolic space. We obtain universal bounds on the $(k+1)$th eigenvalue in terms of the first $k$th eigenvalue independent of the domains.
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