Estimates for Eigenvalues of Polyharmonic Operator △~p

Mi Wang · Journal of Hebei University · 1999

Let Ω be a bounded domain in Rm, m≥2, with sufficiently smooth boundry.The eigenvalue problem of polyharmonic operator △p with any order is studied, a lower estimate for the eigenvalue of the operator △p is provided, which depends only on the volume of Ω.

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