On estimates for the number of negative eigenvalues of two-dimensional Schrödinger operators with potentials supported by Lipschitz curves

In this paper we present quantitative upper estimates for the number of negative eigenvalues of a two dimensional Schrödinger operator with potential supported by an unbounded Lipschitz curve. The estimates are given in terms of weighted L1 and Llog⁡L type Orlicz norms of the potential.