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

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

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

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 under the Dirichlet condition or the Neumann condition, we shall prove the existence of weak solution and its regularity. Mathematics Subject Classification: 35Q60, 35J50, 78A30, 78A25

Born-Infeld effects in the electromagnetic mass of an extended Dirac particle

In the last few years severa, l models of extended fermions have been shown to provide a fair account of the main properties of the nucleons. ' ' In particular they give a good description of the electromagnetic radii'and the form factors at low momentum transfer. All these models are based on a Dirac field with a fourth-order self-coupling term which allows the existence of finite-energy, loca...

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.

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 ...