Abstract
We study the existence of steady states to the Keller–Segel system with linear chemotactical sensitivity function on a smooth bounded domain in \(\mathbb {R}^N,\)\(N\ge 3,\) having rotational symmetry. We find three different types of chemoattractant concentration which concentrate along suitable \((N-2)\)-dimensional minimal submanifolds of the boundary. The corresponding density of the cellular slime molds exhibit in the limit one or more Dirac measures supported on those boundary submanifolds.
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