| Abstract: |
| Self-organizing patterns are widely observed in various physical and biological systems. In Schrodinger-type reaction-diffusion systems, such as the Gierer-Meinhardt system, assemblies of interior and boundary spikes can be constructed. In contrast, the FitzHugh-Nagumo system reveals bubble-like assemblies. More recently, infinitely many solutions of Schrodinger-Newton systems have been constructed based on the ground state of the two-component systems. This talk will also cover new progress on cluster solutions and other related aspects. |
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