On the Classical Solutions of the Extended Magnetostatic Born-Infeld System

On the Classical Solutions of the Extended Magnetostatic Born-Infeld System with a Concave Lower Order Term

We consider the Born-Infeld system in a bounded domain. In order to get nontrivial solution, we extend the original Born-Infeld system. For extended Born-Infeld system with convex lower order term, under the Dirichlet condition or the Neumann condition, Chen and Pan showed the existence of weak solution and its regularity, and then the author of this paper extended their results. For the concav...

An extended magnetostatic Born-Infeld model with a concave lower order term

Wormholes on the World Volume: Born-Infeld particles and Dirichlet p-branes

I describe some recent work in which classical solutions of Dirac-BornInfeld theory may be used to throw light on some properties of M-theory. The sources of Born-Infeld theory are the ends of strings ending on the world volume. Equivalently the fundamental string may be regarded as merely a thin and extended piece of the world volume.

Classical glueballs in non-Abelian Born-Infeld theory.

It is shown that the Born-Infeld-type modification of the quadratic Yang-Mills action gives rise to classical particlelike solutions prohibited in the standard Yang-Mills theory. This becomes possible due to breaking of the scale invariance by the Born-Infeld nonlinearity. New classical glueballs, which are of a sphaleronic nature, exhibit a striking similarity to the Bartnik-McKinnon solutions...

Derivation of Particle, String and Membrane Motions from the Born-infeld Electromagnetism

We derive classical particle, string and membrane motion equations from a rigorous asymptotic analysis of the Born-Infeld nonlinear electromagnetic theory. We first add to the Born-Infeld equations the corresponding energy-momentum conservation laws and write the resulting system as a non-conservative symmetric 10× 10 system of first-order PDEs. Then, we show that four rescaled versions of the ...