24 citations · 77 across the 23 of their papers we have counts for
4 papers · 2 filters
Eigenvalue inequalities for the Laplacian with mixed boundary conditions
Vladimir Lotoreichik, Jonathan Rohleder
Inequalities for the eigenvalues of the (negative) Laplacian subject to mixed boundary conditions on polyhedral and more general bounded domains are established. The eigenvalues su…
Eigenvalue estimates for the Laplacian on a metric tree
Jonathan Rohleder
We provide explicit upper bounds for the eigenvalues of the Laplacian on a finite metric tree subject to standard vertex conditions. The results include estimates depending on the…
Visibility of quantum graph spectrum from the vertices
Christian Kühn, Jonathan Rohleder
We investigate the relation between the eigenvalues of the Laplacian with Kirchhoff vertex conditions on a finite metric graph and a corresponding Titchmarsh-Weyl function (a param…
Spectral theory for Schrödinger operators with -interactions supported on curves in
Jussi Behrndt, Rupert L. Frank, Christian Kühn +2
The main objective of this paper is to systematically develop a spectral and scattering theory for selfadjoint Schrödinger operators with -interactions supported on closed curve…