A new proof of solvability for the electrostatic Born-Infeld equation with radial charge density is presented using the conformal method and the Spacetime Positive Energy Theorem, producing classical spacelike solutions.
Chru´sciel, Boundary conditions at spatial infinity: From a Hamiltonian point of vie w, In: Bergmann P.G., De Sabbata V
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A note on the electrostatic Born-Infeld equation with radial charge density
A new proof of solvability for the electrostatic Born-Infeld equation with radial charge density is presented using the conformal method and the Spacetime Positive Energy Theorem, producing classical spacelike solutions.