37 citations · 106 across the 5 of their papers we have counts for
5 papers
Blow-up of solutions of critical elliptic equations in three dimensions
Rupert L. Frank, Tobias König, Hynek Kovařík
We describe the asymptotic behavior of positive solutions of the equation in with a homogeneous Dirichlet boundary condition. T…
Improved Berezin-Li-Yau inequalities with magnetic field
Hynek Kovarik, Timo Weidl
In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Li-Yau bound in the presence of a consta…
Two dimensional Berezin-Li-Yau inequalities with a correction term
Hynek Kovarik, Semjon Vugalter, Timo Weidl
We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the corre…
Spectrum of the Schrödinger operator in a perturbed periodically twisted tube
Pavel Exner, Hynek Kovařík
We study Dirichlet Laplacian in a screw-shaped region, i.e. a straight twisted tube of a non-circular cross section. It is shown that a local perturbation which consists of "slowin…
Spectrum of the Magnetic Schrodinger Operator in a Waveguide with Combined Boundary Conditions
Denis Borisov, Tomas Ekholm, Hynek Kovarik
We consider the magnetic Schrodinger operator in a two-dimensional strip. On the boundary of the strip the Dirichlet boundary condition is imposed except for a fixed segment (windo…