Singular Gierer–Meinhardt systems of elliptic boundary value problems
Singular Gierer–Meinhardt systems of elliptic boundary value problems
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DOI：
10.1016/j.jmaa.2004.10.039
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发表时间：
2005-08
影响因子：
1.3
通讯作者：
Eun Heui Kim
中科院分区：
文献类型：
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作者：
Eun Heui Kim
我们建立了具有零Dirichlet边界条件的奇异Gierer-Meinhardt椭圆型方程组解的存在性结果。Gierer-Meinhardt系统是形态发生的空间组织结构的模式形成的模型问题。数学上的困难是系统在边界附近变得奇异，并且是非拟单调的。我们证明了具有公共源的活化剂-抑制剂模型正解的存在性。
We establish existence results for singular Gierer–Meinhardt elliptic systems with zero Dirichlet boundary conditions. Gierer–Meinhardt systems are model problems for pattern formations of spatial tissue structures of morphogenesis. The mathematical difficulties are that the system becomes singular near the boundary and it is non-quasimonotone. We show the existence of positive solutions for the activator–inhibitor model with common sources.