A numerical algorithm for finding solutions of p-Laplacian Dirichlet problems

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摘要

In this paper we investigate numerically positive solution of the equation −Δpu = ∣u∣r−2u + λg(u) with Dirichlet boundary condition in a boundary domain Ω for λ > 0 and 1 < p < r. We will show that in which range of λ, this problem achieves a numerical solution.

论文关键词:The p-Laplacian,Variational method,Dirichlet boundary value problem

论文评审过程:Available online 22 August 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.06.095