79 citations · 481 across the 62 of their papers we have counts for
6 papers · 1 filter
Trace Hardy inequality for the Euclidean space with a cut and its applications
Monique Dauge, Michal Jex, Vladimir Lotoreichik
We obtain a trace Hardy inequality for the Euclidean space with a bounded cut , . In this novel geometric setting, the Hardy-type inequality non-typic…
Optimization of the lowest eigenvalue of a soft quantum ring
Pavel Exner, Vladimir Lotoreichik
We consider the self-adjoint two-dimensional Schrödinger operator associated with the differential expression describing a particle exposed to an attractive interactio…
Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary
David Krejcirik, Vladimir Lotoreichik, Konstantin Pankrashkin +1
We develop a Hilbert-space approach to the diffusion process of the Brownian motion in a bounded domain with random jumps from the boundary introduced by Ben-Ari and Pinsky in 2007…
Faber-Krahn inequalities for Schrödinger operators with point and with Coulomb interactions
Vladimir Lotoreichik, Alessandro Michelangeli
We obtain new Faber-Krahn-type inequalities for certain perturbations of the Dirichlet Laplacian on a bounded domain. First, we establish a two- and three-dimensional Faber-Krahn i…
A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities
Pedro R. S. Antunes, Rafael D. Benguria, Vladimir Lotoreichik +1
We investigate spectral features of the Dirac operator with infinite mass boundary conditions in a smooth bounded domain of . Motivated by spectral geometric inequali…
Spectral optimization for Robin Laplacian on domains admitting parallel coordinates
Pavel Exner, Vladimir Lotoreichik
In this paper we deal with spectral optimization for the Robin Laplacian on a family of planar domains admitting parallel coordinates, namely a fixed-width strip built over a smoot…