Theoretical Mathematics & Applications

Estimates eigenvalues of fourth-order weighted polynomial operator on a hyperbolic space

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• Abstract

  In this paper, we consider the eigenvalue problem of fourth-order weighted polynomial operator on bounded domains in a hyperbolic space, and get a general inequality. By using this inequality, we obtain some universal inequalities of the eigenvalues. Moreover, by these universal inequalities, we can get some results for the biharmonic operator.