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.
Four ` es-Bruhat, Th´ eor` eme d’existence pour certains syst` emes d’´ equations aux d´ eriv´ ees par- tielles nonlin´ eaires, Acta Math
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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.