Positive solutions for the Kirchhoff-type problem involving general critical growth - Part II: 3D numerical solutions

In this paper, we continue the study of the following Kirchhoff-type problem{(a+λ∫R3|∇u|2dx+λb∫R3|u|2dx)(−Δu+bu)=f(u),inR3,u∈H1(R3),u>0,inR3, where λ≥0 is a parameter, a, b are positive constants and f reaches the critical growth. We use a scaling iterative algorithm to find numerical solutions to the problem on a large enough bounded domain with several particular nonlinearities f, including those with critical growth. We also study the behavior of the solutions as λ decreases to 0 in consonance with the theoretical study in Part I.