A variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory

作者：Huang Shao Yuan^*; Wang Shin Hwa

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2016, (94): 1-21.

DOI：10.14232/ejqtde.2016.1.94

• positive solution
• exact multiplicity
• Turning point
• S-shaped bifurcation curve

We study a variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory
{u"(x) + lambda exp (au/a + u) = 0, -1 < x < 1,
u(-1) = u(1) = 0,
where lambda > 0 is the Frank-Kamenetskii parameter or ignition parameter, a > 0 is the activation energy parameter, and u is the dimensionless temperature.

• 出版日期2016
• 单位清华大学