English

Optimal result involving the Green's function

Analysis of PDEs 2025-01-28 v1

Abstract

We investigate a borderline between existence and non-existence of positive solution for a nonlinear elliptic equation involving a critical Sobolev exponent in three-dimensional ball. The method is relied on a suitable choice of the functions used to test two natural ingredients for the associated variational problem.

Keywords

Cite

@article{arxiv.2501.15241,
  title  = {Optimal result involving the Green's function},
  author = {Zakaria Boucheche},
  journal= {arXiv preprint arXiv:2501.15241},
  year   = {2025}
}

Comments

08 pages

R2 v1 2026-06-28T21:17:42.600Z