Nonlinear problems inspired by the Born-Infeld theory of electrodynamics

Relativistic cosmology (83F05) Black holes (83C57) PDEs in connection with relativity and gravitational theory (35Q75) Electromagnetic theory (general) (78A25) Einstein-Maxwell equations (83C22)

Cites Work

On the electrostatic Born-Infeld equation with extended charges
On the quasi-linear elliptic PDE \({-\nabla \cdot ( \nabla{u}/ \sqrt{1-| \nabla{u} |^2}) = 4 \pi \sum_k a_k \delta_{s_k}}\) in physics and geometry
Hyperbolic calorons, monopoles, and instantons
Proof of the Julia-Zee theorem
Multiple instantons representing higher-order Chern-Pontryagin classes
Multiple instantons representing higher-order Chern-Pontryagin classes, II
Born-Infeld-type electrodynamics and magnetic black holes
Born-Infeld inspired modifications of gravity
Regular black hole metrics and the weak energy condition
On the regularity of the minimizer of the electrostatic Born-Infeld energy
Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
Dyonically charged black holes arising in generalized Born-Infeld theory of electromagnetism
Equilibrium measures and equilibrium potentials in the Born-Infeld model
Hayward black holes in Einstein-Gauss-Bonnet gravity
Dyonic black holes in framework of Born-Infeld-type electrodynamics
Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics
Domain wall solitons arising in classical gauge field theories
Asymptotic Reissner-Nordström black holes
Dynamics of electrostatic microelectromechanical systems actuators
Quintessence: a review
Five vortex equations
The Self-Duality Equations on a Riemann Surface
Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices
Classical solutions in the Born—Infeld theory
Generalized Bernstein property and gravitational strings in Born–Infeld theory
Existence of hyperbolic calorons
Nonlinear non-local elliptic equation modelling electrostatic actuation
Electromagnetic asymmetry, relegation of curvature singularities of charged black holes, and cosmological equations of state in view of the Born–Infeld theory
Nineteen vortex equations and integrability
Nonlinear electrodynamics from quantized strings

This page was built for publication: Nonlinear problems inspired by the Born-Infeld theory of electrodynamics