Ask a Question

Prefer a chat interface with context about you and your work?

On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

We present upper estimates for the number of negative eigenvalues of two-dimensional Schroedinger operators with potentials generated by Ahlfors regular measures of arbitrary dimension $\alpha\in (0, 2]$.The estimates are given in terms of the integrals of the potential with a logarithmic weight and of its L $\log$ L type Orlicz …