Marco Vogel

activity

20232026

collaborators

3 papers

math.SP2026

On the discrete spectrum of Dirac operators with Lorentz-scalar $δ$ -shell interactions supported on unbounded curves

Markus Holzmann, Vladimir Lotoreichik, Marco Vogel

We consider the massive Dirac operator (with positive mass) in the plane with an attractive Lorentz-scalar $δ$ -shell interaction of strength $τ \in (- \infty, 0) ∖ {- 2}$ suppor…

math.AP2025

Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks

Konstantin Pankrashkin, Firoj Sk, Marco Vogel

We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is al…

math.SP2023

Asymptotics of Robin eigenvalues for non-isotropic peaks

Marco Vogel

Let $Ω \subset R^{3}$ be an open set such that \begin{align*} &Ω\cap (-δ,δ)^3=\left\{(x_1,x_2,x_3)\in \mathbb{R}^2\times(0,δ): \, \left(\frac{x_1}{x_3^p},\frac{x_2}{x_3^q}\ri…

On the discrete spectrum of Dirac operators with Lorentz-scalar δ-shell interactions supported on unbounded curves

Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks

Asymptotics of Robin eigenvalues for non-isotropic peaks

On the discrete spectrum of Dirac operators with Lorentz-scalar $δ$ -shell interactions supported on unbounded curves