- Titolo:
- Some results on the Born-Infeld equation with point charges
- Quando:
- 19.03.2018 12.00 h
- Dove:
- Palazzo Campana - Torino
- Aula:
- Aula C
- Relatore:
- Dott.ssa Francesca Colasuonno
- Afferenza:
- Università di Torino
- Proponente:
- P. Caldiroli
- Locandina:

In this seminar I will present some results on the electrostatic Born-Infeld equation set in the whole R^n.

This equation is governed by the Lorentz-Minkowski mean curvature operator and was introduced, in the theory of nonlinear electromagnetism, as a generalization of the Poisson equation for the electrostatic potential.

I will consider the case of a superposition of (possibly non-symmetrically distributed) point charges and discuss sufficient conditions to guarantee that the minimizer of the energy functional associated to the problem is a solution.

I will also present an approximation of the considered problem, governed by a sum of 2m-Laplacians, and show some qualitative properties of the approximating solutions, such as their behavior near the charges.

This is a joint work with Denis Bonheure (Université Libre de Bruxelles) and Juraj Foldes (University of Virginia) available at arXiv:1707.07517.

- Sede:
- Palazzo Campana - Sito web
- Via:
- Via Carlo Alberto, 10
- Cap:
- 10123
- Città:
- Torino
- Provincia:
- To
- Paese:

Dipartimento di Matematica, Università degli Studi di Torino