Publications [#361461] of Jianfeng Lu

Papers Published

1. Lu, J; Otto, F, An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus (August, 2015)
   (last updated on 2024/09/17)

   Abstract:
   We study an isoperimetric problem the energy of which contains the perimeter of a set, Coulomb repulsion of the set with itself, and attraction of the set to a background nucleus as a point charge with charge $Z$. For the variational problem with constrained volume $V$, our main result is that the minimizer does not exist if $V - Z$ is larger than a constant multiple of $\max(Z^{2/3}, 1)$. The main technical ingredients of our proof are a uniform density lemma and electrostatic screening arguments.