Nodal solutions for a class of degenerate one dimensional BVP's
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Degenerate boundary value problem, nodal solutions, characterization theorem, global structure of the componentsAbstrakt
In \cite{LR15}, a family of degenerate one dimensional boundary value problems was studied and the existence of positive (and negative) solutions and solutions that possess one interior node was shown for a range of values of a parameter, $\lambda$. It was conjectured that there is a natural extension of these results giving solutions with any prescribed number of interior nodes. This conjecture will be established here.Pobrania
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2016-12-25
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LÓPEZ-GÓMEZ, Julian & RABINOWITZ, Paul H. Nodal solutions for a class of degenerate one dimensional BVP’s. Topological Methods in Nonlinear Analysis [online]. 25 grudzień 2016, T. 49, nr 1, s. 359–376. [udostępniono 22.7.2024].
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