Topological Methods in Nonlinear Analysis

Nodal solutions for a class of degenerate one dimensional BVP's

Julian López-Gómez and Paul H. Rabinowitz

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In [Nodal solutions for a class of degenerate boundary value problems, Adv. Nonl. Studies 15 (2015), 253-288], 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.

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Topol. Methods Nonlinear Anal., Volume 49, Number 1 (2017), 359-376.

First available in Project Euclid: 11 April 2017

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López-Gómez, Julian; Rabinowitz, Paul H. Nodal solutions for a class of degenerate one dimensional BVP's. Topol. Methods Nonlinear Anal. 49 (2017), no. 1, 359--376. doi:10.12775/TMNA.2016.087.

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