We review some optimization problems where an aggregating term is com- peting with a repulsive one, such as the Gamow liquid drop model, the Lord Rayleigh model for charged drops, and the ground state energy for the Hartree equation. As an original contribution, we show that for large values of the mass constraint, the ball is an unstable critical point of a functional made up as the sum of the first eigenvalue of the Dirichlet-Laplacian plus a Riesz-type repulsive energy term, in support to a recent open question raised in [MR21]

Berardo Ruffini (2021). Optimization problems with non-local repulsion. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 12(1), 101-121 [10.6092/issn.2240-2829/14187].

Optimization problems with non-local repulsion

Berardo Ruffini
2021

Abstract

We review some optimization problems where an aggregating term is com- peting with a repulsive one, such as the Gamow liquid drop model, the Lord Rayleigh model for charged drops, and the ground state energy for the Hartree equation. As an original contribution, we show that for large values of the mass constraint, the ball is an unstable critical point of a functional made up as the sum of the first eigenvalue of the Dirichlet-Laplacian plus a Riesz-type repulsive energy term, in support to a recent open question raised in [MR21]
2021
Berardo Ruffini (2021). Optimization problems with non-local repulsion. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 12(1), 101-121 [10.6092/issn.2240-2829/14187].
Berardo Ruffini
File in questo prodotto:
File Dimensione Formato  
BPMAS2021Ruffini_p101-121.pdf

accesso aperto

Tipo: Versione (PDF) editoriale
Licenza: Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione 332.82 kB
Formato Adobe PDF
332.82 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/904856
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact