99 citations · 403 across the 43 of their papers we have counts for
4 papers · 1 filter
Spectral inequalities for a class of integral operators
Ari Laptev, Andrei Velicu
We obtain inequalities for the Riesz means for the discrete spectrum of a class of self-adjoint compact integral operators. Such bounds imply some inequalities for the counting fun…
Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
Orif O. Ibrogimov, David Krejcirik, Ari Laptev
We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex-valued potentials in dimensions one, two and three.
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3
Denis Bonheure, Jean Dolbeault, Maria J. Esteban +2
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated with Schr{ö}dinger operators involving Aharonov-Bohm magnetic potentials, and to…
Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields
Denis Bonheure, Jean Dolbeault, Maria J. Esteban +2
This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic Schr{ö}dinger operator involving an Aharonov-Bohm magnetic vector potential. We…