Shape of the surface of a vertical liquid bridge between two parallel solid planes taking into account the gravity force for small Bond numbers

A variational formulation has given the problem of the shape of the lateral surface of a small vertical liquid $\theta$ bridge between two parallel solid surfaces that take into account the gravity force in the axisymmetric case. An algorithm has been constructed for the iterative solution of the problem for small Bond numbers. The dependence of the number of solutions on the liquid bridge height has been analyzed.