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On the eigenvalues of the biharmonic operator on annuli

Published 6 Oct 2025 in math.AP | (2510.04809v1)

Abstract: We show that the fundamental tone of the bilaplacian with Dirichlet or Navier boundary conditions on radially symmetric domains is always simple in dimension $N\ge3$. In dimension $N=2$ we show that it is simple if the inner radius is big enough.

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