A variational problem for the spatial segregation of reaction-diffusion systems
A variational problem for the spatial segregation of reaction-diffusion systems
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DOI：
10.1512/iumj.2005.54.2506
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发表时间：
2003-12
影响因子：
1.1
通讯作者：
M. Conti;S. Terracini;G. Verzini
中科院分区：
文献类型：
--
作者：
M. Conti;S. Terracini;G. Verzini
本文研究了具有不相交支点的k-≥~3密度反应扩散系统的一类定态。对于一类由变分原理支配的分离态，我们证明了其存在性，并给出了唯一性条件。在以微分不等式为特征的泛函类的更一般的背景下，建立了密度及其自由边界的一些定性性质和局部正则性。
In this paper we study a class of stationary states for reaction-diffusion systems of k ≥ 3 densities having disjoint supports. For a class of segregation states governed by a variational principle we prove existence and provide conditions for uniqueness. Some qualitative properties and the local regularity both of the densities and of their free boundaries are established in the more general context of a functional class characterized by differential inequalities.