A. Verri

activity

20082022

most citedSelf-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions

39 citations · 66 across the 9 of their papers we have counts for

collaborators

11 papers

math.SP2022

Spectral analysis in broken sheared waveguides

Diana C. S. Bello, Alessandra A. Verri

Let $Ω \subset R^{3}$ be a broken sheared waveguide, i.e., it is built by translating a cross-section in a constant direction along a broken line in $R^{3}$ . We prove th…

math.FA2021

Spectral analysis on ruled surfaces with combined Dirichlet and Neumann boundary conditions

Rafael T. Amorim, Alessandra A. Verri

Let $Ω$ be an unbounded two dimensional strip on a ruled surface in $R^{d}$ , $d \geq 2$ . Consider the Laplacian operator in $Ω$ with Dirichlet and Neumann boundary conditions…

math.FA2020

Existence of discrete eigenvalues for the Dirichlet Laplacian in a two-dimensional twisted strip

Rafael T. Amorim, Alessandra A. Verri

We study the spectrum of the Dirichlet Laplacian operator in a two-dimensional twisted strip embedded in $R^{d}$ with $d \geq 2$ . It is shown that a local twisting perturbati…

math.SP2020

Spectrum of the Dirichlet Laplacian in waveguides with parallel cross-sections

Alessandra A. Verri

Let $Ω \subset R^{3}$ be a waveguide which is obtained by translating a cross-section in a constant direction along an unbounded spatial curve. Consider $- Δ_{Ω}^{D}$ the Dirichlet…

math-ph2017

Influence of the bound states in the Neumann Laplacian in a thin waveguide

Carlos R. Mamani, Alessandra A. Verri

We study the Neumann Laplacian operator $- Δ_{Ω}^{N}$ restricted to a twisted waveguide $Ω$ . The goal is to find the effective operator when the diameter of $Ω$ tends to zero. However,…

math-ph2016

A note on the spectrum of the Neumann Laplacian in periodic waveguides

Alessandra A. Verri, Carlos R. Mamani

We study the Neumann Laplacian $- Δ^{N}$ restricted to a periodic waveguide. In this situation its spectrum $σ (- Δ^{N})$ presents a band structure. Our goal and strategy is to get spectr…