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Analysis of institutional authors

Pizzichillo, FabioCorresponding Author

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March 2, 2025
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A relativistic Hardy-type inequality with minimizers

Publicated to: Journal Of Physics A-Mathematical And Theoretical. 58 (8): 085201- - 2025-03-24 58(8), DOI: 10.1088/1751-8121/adb4b1

Authors:

Fanelli, Luca; Pizzichillo, Fabio
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Affiliations

Basque Fdn Sci, Ikerbasque, Bilbao 48011, Spain - Author
BCAM Basque Ctr Appl Math, Bilbao 48009, Spain - Author
Univ Pais Vasco Euskal Herriko Unibertsitatea, Bilbao 48080, Spain - Author
Univ Politecn Madrid, Dept Matemat Informat Aplicadas Ingn Civil & Naval, E T S I Caminos Canales & Puertos, Calle Prof Aranguren 3, Madrid 28040, Spain - Author
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Abstract

In this paper, we prove a sharp, weighted Hardy-type inequality for the Dirac operator. A key feature of our result is that the inequality is not only sharp but also attained, and we construct explicit minimizers that satisfy the equality case. This extends previous work on the spectral properties of Dirac operators, especially in the context of relativistic quantum mechanics and Coulomb-like potentials.
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Keywords

Dirac operatorsElectroInequalityMinimizersRelativistiRelativistic

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of Physics A-Mathematical And Theoretical due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position 17/61, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Physics, Mathematical. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Modeling and Simulation.

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-12-21:

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (PIZZICHILLO, FABIO).

the author responsible for correspondence tasks has been PIZZICHILLO, FABIO.

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Awards linked to the item

We would like to thank Luis Vega for the enlightening discussions.
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