| Abstract: |
| We study the classification and evolution of bifurcation curves
of positive solutions for the one-dimensional perturbed Gelfand problem with
the Minkowski-curvature operator%
\begin{equation}
\left \{
\begin{array}
[c]{l}%
-\left( \dfrac{u^{\prime}(x)}{\sqrt{1-\left( u^{\prime}(x)\right) ^{2}}%
}\right) ^{\prime}=\lambda \exp \left( \dfrac{au}{a+u}\right) \text{,
\ }-L0$ are evolution
parameters. We determine the shapes of the bifurcation curves for different
positive values $a$ and $L$. |
|