English

A non-local semilinear eigenvalue problem

Analysis of PDEs 2022-07-14 v1

Abstract

For a non-local semilinear eigenvalue problem, we prove simplicity and isolation of the first eigenvalue with homogeneous Dirichlet boundary conditions on open sets supporting a suitable compact Sobolev embedding.

Keywords

Cite

@article{arxiv.2207.06274,
  title  = {A non-local semilinear eigenvalue problem},
  author = {Giovanni Franzina and Danilo Licheri},
  journal= {arXiv preprint arXiv:2207.06274},
  year   = {2022}
}
R2 v1 2026-06-25T00:53:05.995Z