%0 Journal Article %A Hailong Zhu and Zhaoxiang Li %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 43, 2010 %T A Numerical Algorithm for Positive Solutions of Concave and Convex Elliptic Equation on R2 %U https://publications.waset.org/pdf/10097 %V 43 %X In this paper we investigate numerically positive solutions of the equation -Δu = λuq+up with Dirichlet boundary condition in a boundary domain ╬® for λ > 0 and 0 < q < 1 < p < 2*, we will compute and visualize the range of λ, this problem achieves a numerical solution. %P 870 - 873