Radial solutions of the Gelfand equation on an $N$--dimensional ball are studied for $3\le N\le 9$. It is shown that global classical solutions are uniformly bounded while unbounded global $L^1$--solutions are constructed for some parameter range.
"Global solutions of a semilinear parabolic equation." Adv. Differential Equations 4 (2) 163 - 196, 1999. https://doi.org/10.57262/ade/1366291412