@Article{ATA-31-381,
author = {},
title = {The Negative Spectrum of Schrödinger Operators with Fractal Potentials},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {4},
pages = {381--393},
abstract = {<p style="text-align: justify;">Let $Γ ⊂ \mathbb{R}^2$ be a regular anisotropic fractal. We discuss the problem of the
negative spectrum for the Schrödinger operators associated with the formal expression $$H_β =id−∆+βtr^Γ_b, β∈R,$$ acting in the anisotropic Sobolev space $W^{1,α}_2(\mathbb{R}^2)$, where $∆$ is the Dirichlet Laplanian
in $\mathbb{R}^2$ and $tr^Γ_b$ is a fractal potential (distribution) supported by $Γ$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2015.v31.n4.4},
url = {http://global-sci.org/intro/article_detail/ata/4646.html}
}