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|Title:||On The Two Dimensional Gierer-Meinhardt system with strong coupling|
|Keywords:||Pattern Formation, Mathematical Biology,;Singular Perturbation , Strong Coupling|
|Citation:||SIAM J Math Anal 30 (1999), 1241-1263|
|Abstract:||We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part of the Green's function for -\Delta +1 nder the Neumann boundary condition. Our method is based on Liapunov-Schmidt reduction for a system of elliptic equations.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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