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On the eigenvalues of the biharmonic operator on annuli (2510.04809v1)
Published 6 Oct 2025 in math.AP
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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