Journal of Geometric Analysis
For idealized, infinitely thin ("dry") soap films, an X is unstable, while for very thick ("wet") soap films it is minimizing. We show that for soap films of relatively small but positive wetness, the X is unstable. Full stability diagrams for the constant liquid fraction case and the constant pressure case are generated. Analogous questions about other singularities remain controversial.
Brakke, K. A., Morgan, F. (1998). Instability of the wet X soap film. Journal of Geometric Analysis, 8(5), 749-768.