We prove that the spectrum of Schrödinger operators in three dimensions is purely
continuous and coincides with the non-negative semiaxis for all potentials satisfying a form …

This paper deals with global dispersive properties of Schrödinger equations with real-valued
potentials exhibiting critical singularities, where our class of potentials is more general than …

By developing the method of multipliers, we establish sufficient conditions on the electric
potential and magnetic field which guarantee that the corresponding two-dimensional …

The purpose of this paper is to study the validity of global-in-time Strichartz estimates for the
Schrödinger equation on R n, n≥ 3, with the negative inverse-square potential− σ| x|− 2 in …

By developing the method of multipliers, we establish sufficient conditions which guarantee
the total absence of eigenvalues of the Laplacian in the half‐space, subject to variable …

We quantify the subcriticality of the bilaplacian in dimensions greater than four by providing
explicit repulsivity/smallness conditions on complex additive perturbations under which the …

We consider the 0-order perturbed Lamé operator− Δ⁎+ V (x). It is well known that if one
considers the free case, namely V= 0, the spectrum of− Δ⁎ is purely continuous and …

We prove uniform Sobolev estimates for the resolvent of Schrödinger operators with large
scaling-critical potentials without any repulsive condition. As applications, global-in-time …

Eigenvalue bounds Page 1 J. Spectr. Theory 9 (2019), 677–709 DOI 10.4171/JST/260 Journal
of Spectral Theory © European Mathematical Society Eigenvalue bounds for non-self-adjoint …

We study the-type uniform resolvent estimates for 2D-Schrödinger operators in scaling-
critical magnetic fields, involving the Aharonov–Bohm model as a main example. As an …