  This paper concerns the questions of flexibility and rigidity of solutions to
the Monge-Amp\`ere equation which arises as a natural geometrical constraint in
prestrained nonlinear elasticity. In particular, we focus on anomalous i.e.
"flexible" weak solutions that can be constructed through methods of convex
integration \`a la Nash & Kuiper and establish the related h-principle for the
Monge-Amp\`ere equation in two dimensions
