A Numerical Algorithm for Positive Solutions of Concave and Convex Elliptic Equation on R2

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.

• Hailong Zhu
• Zhaoxiang Li

• positive solutions
• concave-convex
• sub-super solution method
• pseudo arclength method.

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