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

Autor: Shao-Yuan Huang, Kuo-Chih Hung, Shin-Hwa Wang
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 99, Pp 1-25 (2019)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2019.1.99
Popis: 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{,}\; \;-10$ is a bifurcation parameter, $\varepsilon \in \Theta $ is an evolution parameter, and $\Theta \equiv \left( \sigma _{1},\sigma_{2}\right) $ is an open interval with $0\leq \sigma _{1}
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