The aim of this paper is to prove the existence nonlinear Klein-Gordon equations coupled with Born-Infeld theory by using variational methods.

We present dyon solutions to an SU(2) Dirac-Born-Infeld (DBI) gauge theory coupled to a Higgs triplet. We consider different non-Abelian extensions of the DBI action and study the resulting solutions numerically, comparing them with the standard Julia-Zee dyons. We discuss the existence of a critical value of β, the Born-Infeld absolute field parameter, below which the solution ceases to exist....

We consider massive dual pairs of p–forms and (D − p− 1)–forms described by non–linear Lagrangians, where non–linear curvature terms in one theory translate into non–linear mass– like terms in the dual theory. In particular, for D = 2p and p even the two non–linear structures coincide when the non–linear massless theory is self–dual. This state of affairs finds a natural realization in the four...

We study the SU(2) electroweak model in which the standard Yang-Mills coupling is supplemented by a Born-Infeld term. The deformation of the sphaleron and bisphaleron solutions due to the Born-Infeld term is investigated and new branches of solutions are exhibited. Especially, we find a new branch of solutions connecting the Born-Infeld sphaleron to the first solution of the Kerner-Gal’tsov ser...