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We study a variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory { u′′(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.

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