English

Periodic energy minimizers for a one-dimensional liquid drop model

Mathematical Physics 2019-05-22 v1 Analysis of PDEs math.MP

Abstract

We reprove a result by Ren and Wei concerning the periodicity of minimizers of a one-dimensional liquid drop model in the neutral case. Our proof works for general boundary conditions and also in the non-neutral case.

Cite

@article{arxiv.1808.06172,
  title  = {Periodic energy minimizers for a one-dimensional liquid drop model},
  author = {Rupert L. Frank and Elliott H. Lieb},
  journal= {arXiv preprint arXiv:1808.06172},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-23T03:37:39.229Z