Two numerical methods for finding multiple solutions of a logistic equation

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摘要

Using two numerical methods, we will show the existence of multiple solutions for the well-known logistic equation -Δu=λg(x)u(1-u) for x∈Ω, with Dirichlet boundary condition.

论文关键词:Logistic equation,Multiple positive solutions,Mountain pass lemma,Sub- and super-solutions

论文评审过程:Available online 27 March 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.03.045