2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74678This paper studies the regularity properties of the density of the exit measure for super-Brownian motion with (1+β)-stable branching mechanism. It establishes the continuity of the density in dimension d=2 and the unboundedness of the density in all other dimensions where the density exists. An alternative description of the exit measure and its density is also given via a stochastic integral representation. Results are applied to the probabilistic representation of nonnegative solutions of the partial differential equation Δu=u^{1+β}.Published at http://dx.doi.org/10.1214/009117904000000612 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60G57 (Primary) 60G17, 60J80, 35J65. (Secondary)text