most citedSpectral stability of higher order uniformly elliptic operators

23 citations · 36 across the 4 of their papers we have counts for

collaborators

5 papers

math.FA2023

Extension and embedding theorems for Campanato spaces on domains

Damiano Greco, Pier Domenico Lamberti

We consider Campanato spaces with exponents on domains of class in the N-dimensional Euclidean space endowed with a natural anisotropic metric depending on . We…

math.OC2014

On a classical spectral optimization problem in linear elasticity

Davide Buoso, Pier Domenico Lamberti

We consider a classical shape optimization problem for the eigenvalues of elliptic operators with homogeneous boundary conditions on domains in the -dimensional Euclidean space.…

math.SP201413 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.SP201223 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…