81 citations · 402 across the 44 of their papers we have counts for
5 papers · 1 filter
Melas-type bounds for the Heisenberg Laplacian on bounded domains
Hynek Kovarik, Bartosch Ruszkowski, Timo Weidl
We study Riesz means of the eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on bounded domains. We obtain an inequality with a sharp leading term and an…
Optimizing the first eigenvalue of some quasilinear operators with respect to the boundary conditions
Francesco Della Pietra, Nunzia Gavitone, Hynek Kovarik
We consider a class of quasilinear operators on a bounded domain and address the question of optimizing the first eigenvalue with respect to the boundary con…
Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows
Luca Fanelli, Gabriele Grillo, Hynek Kovarik
We consider a Schrödinger hamiltonian with scaling critical and time independent external electromagnetic potential, and assume that the angular operator associated to…
Estimates for the Lowest Eigenvalue of Magnetic Laplacians
Tomas Ekholm, Hynek Kovarik, Fabian Portmann
We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded domain in two dimensions. When the magnetic field is constant, we give lower an…
Semiclassical bounds in magnetic bottles
Diana Barseghyan, Pavel Exner, Hynek Kovarik +1
The aim of the paper is to derive spectral estimates into several classes of magnetic systems. They include three-dimensional regions with Dirichlet boundary as well as a particle…