  Young's law fails on soft solid and liquid substrates where there are
substantial deformations near the contact line. On liquid substrates, this is
captured by Neumann's classic analysis, which provides a geometrical
construction for minimising the interfacial free energy. On soft solids, the
total free energy includes an additional contribution from elasticity. A
linear-elastic model incorporating an out-of-plane restoring force due to solid
surface tension was recently shown to accurately predict the equilibrium shape
of a thin elastic film due to a large sessile droplet. Here, we extend this
model to find substrate deformations due to droplets of arbitrary size. While
the macroscopic contact angle matches Young's law for large droplets, it
matches Neumann's prediction for small droplets. The cross-over droplet size is
roughly given by the ratio of the solid's surface tension and elastic modulus.
At this cross-over, the macroscopic contact angle increases, indicating that
the substrate is effectively less wetting. For droplets of all sizes, the
microscopic behaviour near the contact line follows the Neumann construction
giving local force balance.
