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arXiv · 2304.08262

Some Maximum Principles for Cross Diffusion Systems

Dung Le
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Abstract

We establish certain maximum principles for a class of strongly coupled elliptic (or cross diffusion) systems of $m\ge2$ 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.

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Dung Le. 2023-04-17. Some Maximum Principles for Cross Diffusion Systems. https://arxiv.org/abs/2304.08262

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