Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions

Abstract

We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex-valued potentials in dimensions one, two and three.

References in corpus (1)

• Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators

Cited by in corpus (2)

• Location of eigenvalues of non-self-adjoint discrete Dirac operators
• Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene