English

A Courant nodal domain theorem for linearized mean field type equations

Analysis of PDEs 2023-07-25 v1

Abstract

We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radial eigenfunctions and the related uniqueness properties.

Keywords

Cite

@article{arxiv.2301.09128,
  title  = {A Courant nodal domain theorem for linearized mean field type equations},
  author = {Daniele Bartolucci and Aleks Jevnikar and Ruijun Wu},
  journal= {arXiv preprint arXiv:2301.09128},
  year   = {2023}
}

Comments

18 pages

R2 v1 2026-06-28T08:17:18.985Z