37 citations · 209 across the 33 of their papers we have counts for
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math.SP2012★ 12 cited
A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
Pier Domenico Lamberti, Luigi Provenzano
We consider eigenvalue problems for general elliptic operators of arbitrary order subject to homogeneous boundary conditions on open subsets of the euclidean N-dimensional space. W…
math.SP2012
Eigenvalues of poly-harmonic operators on variable domains
Davide Buoso, Pier Domenico Lamberti
We consider a class of eigenvalue problems for poly-harmonic operators, including Dirichlet and buckling-type eigenvalue problems. We prove an analyticity result for the dependence…
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…