Author

Andrea Bisterzo

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Preprint Sep 2026

Rigidity for two-phase overdetermined problems in $\mathbb{S}^n$

In this paper, we study rigidity phenomena associated with a class of overdetermined two-phase problems on the $n$-dimensional sphere $\mathbb{S}^n$. Specifically, we analyze the solutions of coupled elliptic equations defined on a domain $\Omega \subset \mathbb{S}^n$ and its complement, subject to Dirichlet boundary c...

Andrea Bisterzo, Shigeru Sakaguchi · 0 citations

Preprint Aug 2026

On the stability of eigenvalues of varying bilinear forms in abstract Hilbertian settings and applications

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, each of them defined on a (possibly) different Hilbert space. Assuming the stability of the corresponding spectra, our first main result esta...

Andrea Bisterzo, R. Ognibene, Prasun Roychowdhury et al. · 0 citations