Existence of a Positive Solution and Numerical Solution for Some Elliptic Superlinear Problem

In this paper, we prove the existence of positive solutions of an elliptic superlinear problem. Also, we are interested here in getting results concerning the existence of positive solutions for the discrete formulation of our problem. Therefore, in order to do it, we employ the radial solutions of the elliptic superlinear problem, obtaining a second-order dynamic equation on time scales, which encompasses discrete, continuous and hybrid formulations of our problem. This unified equation allows us to present numerical simulations, which give us a more precise analysis and description concerning the behavior of the solution according to the parameters. © 2018 Elsevier Inc.