In this paper we introduce a model which describes the relation of matter and the
electromagnetic field from a unitarian standpoint in the spirit of ideas of Born and Infeld. In …

Abstract Let F: 0,∞)→ 0,∞) be a strictly increasing C 2 function with F (0)= 0. We unify the
concepts of F-harmonic maps, minimal hypersurfaces, maximal spacelike hypersurfaces …

Born–Infeld type equations for electrostatic fields Page 1 Born–Infeld type equations for
electrostatic fields D. Fortunato Dipartimento Interuniversitario di Matematica, Universita` …

In this paper, we study the existence of ground state solution for nonlinear Klein–Gordon
equation coupled with Born–Infeld theory when the nonlinearity exhibits critical growth. We …

We review the Bogomol'nyi equations and investigate an alternative route in obtaining it. It
can be shown that the known Bogomol'nyi-Prasad-Sommerfield equations can be derived …

This paper studies the dynamical behavior near a new family of explicit self-similar solutions
for the one-dimensional Born–Infeld equation. This quasilinear scalar field equation arises …

It is shown that for each finite number N of Dirac measures s_n supported at points s_n
∈\mathbb R^ 3 with given amplitudes a_n ∈\mathbb R \ {0\} there exists a unique real …

Born's quest for the elusive divergence problem-free quantum theory of electromagnetism
led to the important discovery of the nonlinear Maxwell–Born–Infeld equations for the …

We consider the nonlinear Klein–Gordon equations coupled with the Born–Infeld theory
under the electrostatic solitary wave ansatz. The existence of the least-action solitary waves …

We present the first nonperturbative calculations of the nonrelativistic hydrogen spectrum as
predicted by first-quantized nonlinear Maxwell-Born-Infeld electrodynamics with point …