138 citations · 1.3k across the 90 of their papers we have counts for
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Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
David Krejcirik, Vladimir Lotoreichik
We consider the problem of geometric optimisation of the lowest eigenvalue of the Laplacian in the exterior of a compact planar set, subject to attractive Robin boundary conditions…
Asymptotic spectral analysis in colliding leaky quantum layers
Sylwia Kondej, David Krejcirik
We consider the Schroedinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properti…
Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
Pedro R. S. Antunes, Pedro Freitas, David Krejcirik
We present some new bounds for the first Robin eigenvalue with a negative boundary parameter. These include the constant volume problem, where the bounds are based on the shrinking…
Non-accretive Schrödinger operators and exponential decay of their eigenfunctions
David Krejcirik, Nicolas Raymond, Julien Royer +1
We consider non-self-adjoint electromagnetic Schrödinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Unde…
A lower bound to the spectral threshold in curved quantum layers
Pedro Freitas, David Krejcirik
We derive a lower bound to the spectral threshold of the Dirichlet Laplacian in tubular neighbourhoods of constant radius about complete surfaces. This lower bound is given by the…