Unbounded mass radial solutions for the Keller-Segel equation in the disk

Denis Bonheure, Jean-Baptiste Casteras, Carlos Román

We consider the boundary value problem $$ \left\{ \begin{array}{rcll} -Δu+ u -λe^u&=&0,\ u>0 & \mathrm{in}\ B_1(0)\\ \partial_νu&=&0&\mathrm{on}\ \partial B_1(0), \end{array}\right…