81 citations · 402 across the 44 of their papers we have counts for
56 papers
Magnetic Hardy inequalities with singular integral weights
Hynek Kovarik, Pier Cristoforo Rossaro
In this paper we present Hardy type inequalities for magnetic Dirichlet forms with singular integral weights. We analyze the local and global optimality of the integral weight and…
A modified Fermi Golden Rule at threshold for 3D magnetic Schrödinger operators
Pavel Exner, Arne Jensen, Hynek Kovarik
In this paper we consider three-dimensional Schrödinger operators with a simple threshold eigenvalue. We show, under certain assumptions, that when a small magnetic field is introd…
Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schrödinger operator in dimension two
Matthias Baur, Hynek Kovarik
We prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of Pauli operators in dimension two. The resulting upper bound is sharp both in the weak as…
Optimizing the ground of a Robin Laplacian: asymptotic behavior
Pavel Exner, Hynek Kovarik
In this note we consider achieving the largest principle eigenvalue of a Robin Laplacian on a bounded domain by optimizing the Robin parameter function under an integral constr…
Quantitative Hardy inequality for magnetic Hamiltonians
Luca Fanelli, Hynek Kovarik
In this paper we present a new method of proof of Hardy type inequalities for two-dimensional quantum Hamiltonians with a magnetic field of finite flux. Our approach gives a quanti…
Absence of embedded eigenvalues of Pauli and Dirac operators
Dirk Hundertmark, Hynek Kovarik
We consider eigenvalues of the Pauli operator in embedded in the continuous spectrum. In our main result we prove the absence of such eigenvalues above a threshold wh…