Regularity conjecture for minimizers of the electrostatic Born–Infeld energy
Let NNN be the ambient dimension, let q>Nq>Nq>N, let ρ∈Llocq(RN)∩X∗\rho\in L^q_{loc}(\mathbb{R}^N)\cap\mathcal{X}^*ρ∈Llocq(RN)∩X∗, and let uρu_\rhouρ be the minimizer associated with ρ\rhoρ. Regularity conjecture…