8 citations · 11 across the 9 of their papers we have counts for
10 papers
Rigidity for two-phase overdetermined problems in
Andrea Bisterzo, Shigeru Sakaguchi
In this paper, we study rigidity phenomena associated with a class of overdetermined two-phase problems on the -dimensional sphere . Specifically, we analyze the s…
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…
Rigidity of an overdetermined heat equation and minimal helicoids in space-forms
Andrea Bisterzo, Alessandro Savo
Let be a Riemannian manifold and a smooth domain of . We study the following heat diffusion problem: assume that the initial temperature is equal to , uniformly on $Ω…
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…
positivity preservation and Liouville-type theorems
Andrea Bisterzo, Alberto Farina, Stefano Pigola
On a complete Riemannian manifold , we consider distributional solutions of the the differential inequality with a locally bounded func…
Symmetry of solutions of semilinear PDEs on Riemannian domains
Andrea Bisterzo, Stefano Pigola
This paper deals with symmetry phenomena for solutions of the Dirichlet problem involving semilinear PDEs on Riemannian domains. We shall present a rather general framework where t…
The -positivity preserving property and stochastic completeness
Andrea Bisterzo, Ludovico Marini
We say that a Riemannian manifold satisfies the -positivity preserving property if in a distributional sense implies for all .While geode…