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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…
Non-isoparametric Serrin domains of with connected toric boundary
Andrea Bisterzo, Shigeru Sakaguchi
We investigate the overdetermined torsion problem $\begin{cases} -Δu = 1 & \text{in}\ Ω\\ u=0 & \text{on}\ \partial Ω\\ \frac{\partial u}{\partial ν}=\text{const.} & \text{on}\ \pa…
Quantitative spectral stability for compact operators
Andrea Bisterzo, Giovanni Siclari
This paper deals with quantitative spectral stability for compact operators acting on , where is a measure space. Under fairly general assumptions, we provide a c…
positivity preservation and self-adjointness on incomplete Riemannian manifolds
Andrea Bisterzo, Giona Veronelli
The aim of this paper is to prove a qualitative property, namely the preservation of positivity, for Schrödinger-type operators acting on functions defined on (possibly incom…
Maximum principles in unbounded Riemannian domains
Andrea Bisterzo
The necessity of a Maximum Principle arises naturally when one is interested in the study of qualitative properties of solutions to partial differential equations. In general, to e…