On the nature of the instability of radial power equilibria of a semilinear parabolic equation
The semilinear problem (Formula presented) has positive equilibria of the form u(x, t) = C |x|−a for many values of (N, p). Of concern is getting more information on exactly how stable or unstable these solutions are. When m = 1, the results have a qualitatively different nature for the two cases N ≤ 10 and N ≥ 11.
Springer INdAM Series
Goldstein, J., & Han, J. (2014). On the nature of the instability of radial power equilibria of a semilinear parabolic equation. Springer INdAM Series, 10, 141-159. https://doi.org/10.1007/978-3-319-11406-4_8