A bifurcation theorem for the p-logistic equation
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摘要
We consider a p-logistic equation with an equidiffusive reaction. Using variational methods and truncation techniques, we show that there is a critical parameter value λ∗ > 0 such that for λ > λ∗ the problem has a unique positive smooth solution, and for λ ∈ (0, λ∗] the problem has no positive solution.
论文关键词:p-Logistic equation,Nonlinear regularity,Nonlinear maximum principle,Unique positive solution,Bifurcation
论文评审过程:Available online 22 February 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.02.056