Rafael T. Amorim

collaborators

2 papers

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…