Blow-up of solutions for semilinear stochastic delayed reaction-diffusion equations with Lévy noise

This paper is concerned with a class of semilinear stochastic delayed reaction-diffusion equations driven by Lévy noise in a separable Hilbert space. We establish sufficient conditions to ensure the existence of a unique positive solution. Moreover, we study blow-up of solutions in finite time in mean Lp-norm sense. Several examples are given to illustrate applications of the theory.