摘要
We study a variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory ( u 00(x) + λ exp au a+u = 0, −1 < x < 1, u(−1) = u(1) = 0, where λ > 0 is the Frank–Kamenetskii parameter or ignition parameter, a > 0 is the activation energy parameter, and u is the dimensionless temperature. Keywords: positive solution, exact multiplicity, Turning point, S-shaped bifurcation curve.