Publication details
On fractional multi-singular Schrodinger operators: Positivity and localization of binding
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Functional Analysis |
| MU Faculty or unit | |
| Citation | |
| web | https://www.sciencedirect.com/science/article/pii/S0022123619303830 |
| Doi | http://dx.doi.org/10.1016/j.jfa.2019.108389 |
| Keywords | Fractional Laplacian; Multipolar potentials; Positivity Criterion; Localization of binding |
| Description | In this work we investigate positivity properties of nonlocal Schrodinger type operators, driven by the fractional Laplacian, with multipolar, critical, and locally homogeneous potentials. On one hand, we develop a criterion that links the positivity of the spectrum of such operators with the existence of certain positive supersolutions, while, on the other hand, we study the localization of binding for this kind of potentials. Combining these two tools and performing an inductive procedure on the number of poles, we establish necessary and sufficient conditions for the existence of a configuration of poles that ensures the positivity of the corresponding Schrodinger operator. |
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