A global bifurcation theorem for a multiparameter positone problem and its application to the one-dimensional perturbed Gelfand problem

We study the global bifurcation and exact multiplicity of positive solutions for \begin{equation*} \begin{cases} u^{\prime \prime }(x)+\lambda f_{\varepsilon }(u)=0\text{,}\; \;-1<x<1\text{,} \\ u(-1)=u(1)=0\text{,} \end{cases} \end{equation*} where $\lambda >0$ is a bifurcation parameter,...

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Bibliographic Details
Main Authors: Shao-Yuan Huang, Kuo-Chih Hung, Shin-Hwa Wang
Format: Article
Language:English
Published: University of Szeged 2019-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7633