Convex integration for the Monge–Ampère equation in two dimensions
Convex integration for the Monge–Ampère equation in two dimensions
This paper concerns the questions of flexibility and rigidity of solutions to the Monge-Ampère 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 à la Nash & Kuiper and …