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math.AP2026
On the stability of eigenvalues of varying bilinear forms in abstract Hilbertian settings and applications
Andrea Bisterzo, Roberto Ognibene, Prasun Roychowdhury +1
The aim of the present paper is to develop a spectral perturbation theory from a higher perspective. More precisely, we consider a one-parameter family of varying bilinear forms, e…
math.AP2026
On the splitting of Neumann eigenvalues in perforated domains
Veronica Felli, Lorenzo Liverani, Roberto Ognibene
We address the problem of splitting of eigenvalues of the Neumann Laplacian under singular domain perturbations. We consider a domain perturbed by the excision of a small spherical…