Abstract
In this paper, we give some universal inequalities for the eigenvalues of a generalized Paneitz operator on a bounded domain in a complete Riemannian manifold. As an application, we obtain a universal bound for the \((k+1)\)-th eigenvalue of the weighted Paneitz operator on compact domains of complete submanifolds in the Euclidean space in terms of the first k eigenvalue independent of the domains.
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Communicated by Swagato Roy.
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Azami, S. Eigenvalue estimates for a generalized Paneitz operator. Proc Math Sci 133, 27 (2023). https://doi.org/10.1007/s12044-023-00749-z
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DOI: https://doi.org/10.1007/s12044-023-00749-z