In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-
selfadjoint Schrödinger operator to the Dirac operator, imposing some suitable rigidity …

By developing the method of multipliers, we establish sufficient conditions on the magnetic
field and the complex, matrix-valued electric potential, which guarantee that the …

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 …

This note aims to give prominence to some new results on the absence and localization of
eigenvalues for the Dirac and Klein–Gordon operators, starting from known resolvent …

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 …

Several recent papers have focused their attention in proving the correct analogue to the
Lieb-Thirring inequalities for non self-adjoint operators and in finding bounds on the …

In this paper we investigate spectral properties of the damped elastic wave equation.
Deducing a correspondence between the eigenvalue problem of this model and the one of …

This paper is devoted to providing quantitative bounds on the location of eigenvalues, both
discrete and embedded, of non self-adjoint Lamé operators of elasticity− Δ⁎+ V in terms of …

In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-
selfadjoint Schr\"{o} dinger operator to the Dirac operator, imposing some suitable rigidity …

The objective of this survey is to collect and elaborate on different tools, both well-
established and more recent ones, which have been developed in the last decades to …