79 citations · 481 across the 62 of their papers we have counts for
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Isoperimetric inequalities for the lowest magnetic Steklov eigenvalue
Ayman Kachmar, Vladimir Lotoreichik
This paper studies the optimization of the lowest eigenvalue of the magnetic Steklov problem on planar domains. In the bounded domain setting and for magnetic fields of moderate st…
Optimisation of the lowest Robin eigenvalue in exterior domains of the hyperbolic plane
Antonio Celentano, David Krejcirik, Vladimir Lotoreichik
We consider the Robin Laplacian in the exterior of a bounded simply-connected Lipschitz domain in the hyperbolic plane. We show that the essential spectrum of this operator is $[\f…
Homogenization of the Dirac operator with position-dependent mass
Andrii Khrabustovskyi, Vladimir Lotoreichik
We address the homogenization of the two-dimensional Dirac operator with position-dependent mass. The mass is piecewise constant and supported on small pairwise disjoint inclusions…
Isoperimetric inequalities for inner parallel curves
Charlotte Dietze, Ayman Kachmar, Vladimir Lotoreichik
We prove weighted isoperimetric inequalities for smooth, bounded, and simply connected domains. More precisely, we show that the moment of inertia of inner parallel curves for doma…
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-…
General -shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
Biagio Cassano, Vladimir Lotoreichik, Albert Mas +1
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed…