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math.AP2026
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…
math.AP2026
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…
math.AP2024
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…