79 citations · 481 across the 62 of their papers we have counts for
5 papers · 1 filter
Bound states of weakly deformed soft waveguides
Pavel Exner, Sylwia Kondej, Vladimir Lotoreichik
In this paper we consider the two-dimensional Schrödinger operator with an attractive potential which is a multiple of the characteristic function of an unbounded strip-shaped regi…
An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain
Vladimir Lotoreichik
In the present paper we introduce the perturbed two-dimensional Robin bi-Laplacian in the exterior of a bounded simply-connected -smooth open set. The considered perturbation…
Quasi-conical domains with embedded eigenvalues
David Krejcirik, Vladimir Lotoreichik
The spectrum of the Dirichlet Laplacian on any quasi-conical open set coincides with the non-negative semi-axis. We show that there is a connected quasi-conical open set such that…
Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle
David Krejcirik, Vladimir Lotoreichik, Tuyen Vu
We consider the Laplace operator on a triangle, subject to attractive Robin boundary conditions. We prove that the equilateral triangle is a local maximiser of the lowest eigenvalu…
Self-adjointness for the MIT bag model on an unbounded cone
Biagio Cassano, Vladimir Lotoreichik
We consider the massless Dirac operator with the MIT bag boundary conditions on an unbounded three-dimensional circular cone. For convex cones, we prove that this operator is self-…