Abstract
For systems of elliptic equations of Fitzhugh–Nagumo type on bounded domains and with small diffusion in one equation, we construct solutions with multiple sharp peaks close to each other and close to, but not on, the boundary. This is a striking contrast to results for scalar equations. For some symmetric domains, we also construct similar multipeak solutions except that here the peaks are not close to each other. 2000 Mathematics Subject Classification 35J50 (primary), 93C15 (secondary).
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