| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9502979 | Journal of Mathematical Analysis and Applications | 2005 | 10 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Eun Heui Kim,