79 citations · 481 across the 62 of their papers we have counts for
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math.SP2022★ 1 cited
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…
math.SP2022★ 1 cited
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…
math.SP2022
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…