Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case (Q1604511)

The authors deal with the study of the Gierer-Meinhardt system which models biological pattern formation. Numerical computations often low that the Gierer-Meinhardt system has stable solutions which display patterns of multiple interior peaks. Here the authors rigorously establish the existence and stability of such solutions of the full Gierer-Meinhardt system in two dimensions far from homogenity. To this end Green's function together with its derivatives play a major role.