On fractional multi-singular Schrodinger operators: Positivity
and localization of binding

J 2020

On fractional multi-singular Schrodinger operators: Positivity and localization of binding

FELLI, Veronica, Debangana MUKHERJEE and Roberto OGNIBENE

Basic information

Original name

On fractional multi-singular Schrodinger operators: Positivity and localization of binding

Authors

FELLI, Veronica (guarantor), Debangana MUKHERJEE (356 India, belonging to the institution) and Roberto OGNIBENE

Edition

Journal of Functional Analysis, Elsevier, 2020, 0022-1236

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10100 1.1 Mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 1.748

RIV identification code

RIV/00216224:14310/20:00114446

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1016/j.jfa.2019.108389

UT WoS

000507143300014

Keywords in English

Fractional Laplacian; Multipolar potentials; Positivity Criterion; Localization of binding

Abstract

V originále

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.

Links

GJ19-14413Y, research and development project

Name: Lineární a nelineární eliptické rovnice se singulárními daty a související problémy

Investor: Czech Science Foundation

Citovat

FELLI, Veronica, Debangana MUKHERJEE and Roberto OGNIBENE. On fractional multi-singular Schrodinger operators: Positivity and localization of binding. Journal of Functional Analysis. Elsevier, 2020, vol. 278, No 4, p. 1-47. ISSN 0022-1236. Available from: https://dx.doi.org/10.1016/j.jfa.2019.108389.

@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 and Roberto OGNIBENE. On fractional multi-singular Schrodinger operators: Positivity and localization of binding. \textit{Journal of Functional Analysis}. Elsevier, 2020, vol.~278, No~4, p.~1-47. ISSN~0022-1236. Available from: https://dx.doi.org/10.1016/j.jfa.2019.108389.

Detailed Information on Publication Record