  We construct stable solutions of $\Delta u + \lambda e^u=0$ with Dirichlet
boundary conditions in small tubular domains (i.e. geodesic
$\varepsilon$--neighbourhoods of a curve $\Lambda$ embedded in $\mathbb{R}^n$),
adapting the arguments of Pacard-Pacella-Sciunzi. We also show unicity of these
solutions, in particular, we show that the stable branch of the bifurcation
diagram is similar to the well-known nose-shaped diagram of the standard
Gelfand problem in the unit ball. In this work, $\Lambda$ can be replaced by
any compact smooth manifold embedded in $\mathbb{R}^n$.
