79 citations · 481 across the 62 of their papers we have counts for
7 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…
On the spectral properties of Dirac operators with electrostatic -shell interactions
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
In this paper the spectral properties of Dirac operators with electrostatic -shell interactions of constant strength supported on compact smooth surfaces in $\mathbb{R…
Spectral isoperimetric inequalities for singular interactions on open arcs
Vladimir Lotoreichik
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive -interaction supported on an open arc…
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
David Krejcirik, Vladimir Lotoreichik
We consider the problem of geometric optimisation of the lowest eigenvalue of the Laplacian in the exterior of a compact planar set, subject to attractive Robin boundary conditions…
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
David Krejcirik, Vladimir Lotoreichik, Thomas Ourmières-Bonafos
We consider the Laplace operator in a tubular neighbourhood of a conical surface of revolution, subject to an Aharonov-Bohm magnetic field supported on the axis of symmetry and Dir…
Spectra of definite type in waveguide models
Vladimir Lotoreichik, Petr Siegl
We develop an abstract method to identify spectral points of definite type in the spectrum of the operator . The method is applicable in particular…