  A thin circular elastic sheet floating on a drop-like liquid substrate gets
deformed due to incompatibility between the curved substrate and the planar
sheet. We adopt a variational viewpoint by minimizing the non-convex membrane
energy plus a higher-order convex bending energy. Being interested in thin
sheets, we expand the minimum of the energy in terms of a small thickness $h$,
and identify the first two terms of this expansion. The leading order term
comes from a minimization of a family of one-dimensional ``relaxed'' problems,
while for the next-order term we only identify its scaling law. This
generalizes the previous work [P. Bella and R.V. Kohn. Wrikling of a thin
circular sheet bonded to a spherical substrate, Philos. Trans. Roy. Soc. A,
375(2017). arXiv:1611.01781] to the physically relevant case of a liquid
substrate.
