23 citations · 36 across the 5 of their papers we have counts for
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math.SP2014★ 13 cited
Shape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system
Davide Buoso, Pier Domenico Lamberti
We consider the eigenvalue problem for the Reissner-Mindlin system arising in the study of the free vibration modes of an elastic clamped plate. We provide quantitative estimates f…
math.SP2014
Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues
Pier Domenico Lamberti, Luigi Provenzano
We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the N…
math.SP2012★ 23 cited
Spectral stability of higher order uniformly elliptic operators
Victor I. Burenkov, Pier Domenico Lamberti
We prove estimates for the variation of the eigenvalues of uniformly elliptic operators with homogeneous Dirichlet or Neumann boundary conditions upon variation of the open set on…