Existence and Stability of a Boundary Layer with an Interior Spike in the Singularly Perturbed Shadow Gierer-Meinhardt System

Daniel Gomez, Juncheng Wei

The singularly perturbed Gierer-Meinhardt (GM) system in a bounded $d$-dimensional domain ($d\ge 2$) is known to exhibit boundary layer (BL) solutions for a non-zero activator flu…