138 citations · 1.3k across the 90 of their papers we have counts for
108 papers
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…
Is the optimal magnetic rectangle a square?
David Krejcirik
We are concerned with the dependence of the lowest eigenvalue of the magnetic Dirichlet Laplacian on the geometry of rectangles, subject to homogeneous fields. We conjecture that t…
Semiclassical asymptotics of the Bloch--Torrey operator in two dimensions
Frédéric Hérau, David Krejcirik, Nicolas Raymond
The Bloch--Torrey operator on a bounded smooth planar domain, subject to Dirichlet boundary conditions, is analyzed. Assuming an…
Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials
Lucrezia Cossetti, Luca Fanelli, David Krejcirik
We quantify the subcriticality of the bilaplacian in dimensions greater than four by providing explicit repulsivity/smallness conditions on complex additive perturbations under whi…
Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain
David Krejcirik, Vladimir Lotoreichik
We consider the Laplace operator in the exterior of a compact set in the plane, subject to Robin boundary conditions. If the boundary coupling is sufficiently negative, there are a…
Criticality transition for positive powers of the discrete Laplacian on the half line
Borbala Gerhat, David Krejcirik, Frantisek Stampach
We study the criticality and subcriticality of powers with of the discrete Laplacian acting on . We prove that these positive powers of the…