English

Some Maximum Principles for Cross Diffusion Systems

Analysis of PDEs 2023-04-18 v1

Abstract

We establish certain maximum principles for a class of strongly coupled elliptic (or cross diffusion) systems of m2m\ge2 equations. The reaction parts can be non cooperative. These new results will be crucial in obtaining coexistence and persistence for many models with cross diffusion effects.

Keywords

Cite

@article{arxiv.2304.08262,
  title  = {Some Maximum Principles for Cross Diffusion Systems},
  author = {Dung Le},
  journal= {arXiv preprint arXiv:2304.08262},
  year   = {2023}
}
R2 v1 2026-06-28T10:08:19.881Z