On the regularity of the minimizer of the electrostatic Born-Infeld energy

Denis Bonheure, Alessandro Iacopetti

We consider the electrostatic Born-Infeld energy \begin{equation*} \int_{\mathbb{R}^N}\left(1-{\sqrt{1-|\nabla u|^2}}\right)\, dx -\int_{\mathbb{R}^N}ρu\, dx, \end{equation*} where…