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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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