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@article{1692097,
author = {Felli, Veronica and Mukherjee, Debangana and Ognibene, Roberto},
article_number = {4},
doi = {http://dx.doi.org/10.1016/j.jfa.2019.108389},
keywords = {Fractional Laplacian; Multipolar potentials; Positivity Criterion; Localization of binding},
language = {eng},
issn = {0022-1236},
journal = {Journal of Functional Analysis},
title = {On fractional multi-singular Schrodinger operators: Positivity and localization of binding},
url = {https://www.sciencedirect.com/science/article/pii/S0022123619303830},
volume = {278},
year = {2020}
}
TY - JOUR
ID - 1692097
AU - Felli, Veronica - Mukherjee, Debangana - Ognibene, Roberto
PY - 2020
TI - On fractional multi-singular Schrodinger operators: Positivity and localization of binding
JF - Journal of Functional Analysis
VL - 278
IS - 4
SP - 1-47
EP - 1-47
PB - Elsevier
SN - 00221236
KW - Fractional Laplacian
KW - Multipolar potentials
KW - Positivity Criterion
KW - Localization of binding
UR - https://www.sciencedirect.com/science/article/pii/S0022123619303830
L2 - https://www.sciencedirect.com/science/article/pii/S0022123619303830
N2 - 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.
ER -
FELLI, Veronica, Debangana MUKHERJEE a Roberto OGNIBENE. On fractional multi-singular Schrodinger operators: Positivity and localization of binding. \textit{Journal of Functional Analysis}. Elsevier, 2020, roč.~278, č.~4, s.~1-47. ISSN~0022-1236. Dostupné z: https://dx.doi.org/10.1016/j.jfa.2019.108389.
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