论文标题

关于在特殊环境中相互作用物种传播的某些模型问题

On Some Model Problem for the Propagation of Interacting Species in a Special Environment

论文作者

Chipot, Michel, Zhang, Mingmin

论文摘要

本注释的目的是研究椭圆系统的非平凡解决方案的存在,该解决方案来自新引入的数学问题所谓的现场道路模型。具体而言,它由不同维度域中设置的耦合方程以及非经典类型的某种相互作用组成。我们通过施加Dirichlet边界条件和无限设置来考虑一个截断的问题。

The purpose of this note is to study the existence of a nontrivial solution for an elliptic system which comes from a newly introduced mathematical problem so called Field-Road model. Specifically, it consists of coupled equations set in domains of different dimensions together with some interaction of non classical type. We consider a truncated problem by imposing Dirichlet boundary conditions and an unbounded setting as well.

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