Wetting phenomena on soft solids are strongly affected by liquid-vapor and solid-fluid surface stresses.  Here is an example:

Deformation of a compliant surface due to liquid surface tension, as well as deformation of a thin film due to a drop placed on it.

Nadermann, Nichole, Chung-Yuen Hui, and Anand Jagota. “Solid surface tension measured by a liquid drop under a solid film.” Proceedings of the National Academy of Sciences (2013).