Peak solutions for the Dirichlet problem of an elliptic system
Edward Norman Dancer, Danielle Hilhorst, Shusen Yan · Discrete and Continuous Dynamical Systems · 2009
We study a system of elliptic equations arising from biology with a chemotaxis term.This system is non-variational. Using a reduction argument, we show that the systemhas solutions with peaks near the boundary and inside the domain.