Full flexibility of the Monge-Ampère system in codimension $d_{\ast }-d+1$

Wentao Cao, Jonas Hirsch, Dominik Inauen +1

We prove that ${\mathcal{C}}^{1,\alpha }$ solutions to the Monge-Ampère system in dimension $d$ and codimension $k=d_{\ast }-d+1$, where $d_{\ast }$ denotes the Janet dimension, are dense in the spac…