Estimates for eigenvalues of the Paneitz operator

Abstract

For an $n$-dimensional compact submanifold $M^n$ in the Euclidean space ${\mathbf{R}}^N$, we study estimates for eigenvalues of the Paneitz operator on $M^n$. Our estimates for eigenvalues are sharp.

16 pages

References in corpus (2)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds