We study the blow-up profile of radial solutions of a semilinear heat equation with an exponential source term. Our main aim is to show that solutions which can be continued beyond blow-up possess a nonconstant selfsimilar blow-up profile. For some particular solutions we determine this profile precisely.
"Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation." Tohoku Math. J. (2) 60 (3) 303 - 328, 2008. https://doi.org/10.2748/tmj/1223057730