Speaker : Prof. Hung,Kuo-Chih (National Chinyi University of Technology) Title : Global bifurcation of bifurcation curves of a multiparameter problem Time : 2014-05-07 (Wed) 15:00 - 16:30 Place : Seminar Room 722, Institute of Mathematics (NTU Campus) Abstract: We study the exact multiplicity of positive solutions of the semilinear problem $\left\{ \begin{array}{l} u^{\prime \prime }(x)+\lambda f_{\varepsilon }(u)=0\text{,}\;\;-1 where $\lambda >0$ is a bifurcation parameter, $\varepsilon >0$ is an evolution parameter and the nonlinearity $f\in C^{2}[0,\infty )$. More precisely, we investigate the global bifurcation of bifurcation curves for varying $\varepsilon >0$.