Numerical methods for finding multiple solutions of a logistic equation

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摘要

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

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

论文评审过程:Available online 3 November 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.09.125