On the Schrodinger-Born-Infeld System

Author(s)

Azzollini, Antonio ^[1] ; Pomponio, Alessio ^[2] ; Siciliano, Gaetano ^[3]

Affiliation

^[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, Via Ateneo Lucano 10, I-85100 Potenza - Italy

^[2] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari - Italy

^[3] Univ Sao Paulo, Inst Matemat & Estatist, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 1, p. 275-289, MAR 2019.
• Web of Science Citations: 1

Abstract

In this paper we study a system which we propose as a model to describe the interaction between matter and electromagnetic field from a dualistic point of view. This system arises from a suitable coupling of the Schrodinger and the Born-Infeld agrangians, this latter replacing the role that, classically, is played by the Maxwell Lagrangian. We use a variational approach to find an electrostatic radial ground state solution by means of suitable estimates on the functional of the action. (AU)

• FAPESP's process: 16/02617-3 - Variational and topological methods in nonlinear elliptic equations
• Grantee: Gaetano Siciliano
• Support Opportunities: Regular Research Grants