English

Sym\'etrie des grandes solutions d'\'equations elliptiques semi lin\'eaire

Analysis of PDEs 2008-12-18 v1

Abstract

We prove that, if gg is a continuous asymptotically convex function, any solution uu of Δu+g(u)=0-\Delta u+g(u)=0 in a ball B which tends to infinity on B\partial B is radially symmetric.

Keywords

Cite

@article{arxiv.0805.3657,
  title  = {Sym\'etrie des grandes solutions d'\'equations elliptiques semi lin\'eaire},
  author = {Alessio Porretta and Laurent Veron},
  journal= {arXiv preprint arXiv:0805.3657},
  year   = {2008}
}
R2 v1 2026-06-21T10:43:36.825Z