English

Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction

Analysis of PDEs 2024-09-11 v2

Abstract

We study the local properties of positive solutions of the equation Δu+aebu=muq-\Delta u+ae^{bu}=m|\nabla u|^q in a punctured domain Ω{0}\Omega\setminus\{0\} of R2\bf R^2 where m,a,bm,a,b are positive parameters and q>1q>1. We study particularly the existence of solutions with an isolated singularity and the local behaviour of such singular solutions.

Keywords

Cite

@article{arxiv.2408.14246,
  title  = {Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction},
  author = {Yimei Li and Laurent Véron},
  journal= {arXiv preprint arXiv:2408.14246},
  year   = {2024}
}

Comments

30 pages