most citedQuantitative spectral stability for compact operators

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math.AP2026

A rigidity result for a global vectorial free boundary problem with a linear datum

Giovanni Siclari, Bozhidar Velichkov

In this paper we completely classify the minimizers of a measure constraint global vectorial free boundary problem with a linear datum. More precisely, we show that there exists a…

math.AP2026

On the Large Asymptotics of the One Phase Bernoulli Free Boundary Problem

Giovanni Siclari

In this paper, we investigate the asymptotic behavior of minimizers of the Bernoulli functional for large with a boundary datum $g \ge…

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

A regularity theorem for stationary measures

Luigi Ambrosio, Giovanni Siclari

We investigate a variational problem for eigenvalues of the Laplace-Beltrami operator on smooth manifolds with respect to Radon measures belonging to a suitable class; we are motiv…

math.AP2026

On a Multiphase Vectorial Bernoulli Free Boundary Problem

Giovanni Siclari, Bozhidar Velichkov

We study the regularity of minimizers of a multiphase vectorial Bernoulli free boundary problem. This problem consists in a minimization problem for the Bernoulli functional over f…

math.AP2026

Local regularity for anisotropic magnetic operators with general codimension singularities

Giovanni Siclari, Stefano Vita

We study local regularity properties of solutions to stationary anisotropic magnetic Schrödinger equations in , , arising from singular magnetic potentials c…

math.AP2026

On the blow-up of the vectorial Bernoulli free boundary problem

Giovanni Siclari, Bozhidar Velichkov

In this paper, we complete the classification of the blow-up limits of minimizers of the vectorial Bernoulli free boundary problem. Furthermore, we study the vectorial Bernoulli fr…

math.AP2024★ 1 cited

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…