Marta Lewicka

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math.AP2026

Flexibility of the isometric immersion system in arbitrary dimension and codimension and the energy scaling of prestrained thin films

Marta Lewicka, Hui Li

We prove that, for a given $C^{r, β}$ -regular Riemann metric posed on a $d$ -dimensional domain, every short immersion into the Euclidean space $R^{d + k}$ , can be uniformly a…

math.AP2026

Full flexibility of the Monge-AmpÃ¨re system in codimension $d_{*} - d + 1$

Wentao Cao, Jonas Hirsch, Dominik Inauen +1

We prove that $C^{1, I^\pm}$ solutions to the Monge-AmpÃ¨re system in dimension $d$ and codimension $k = d_{*} - d + 1$ , where $d_{*}$ denotes the Janet dimension, are dense in the sp…

math.AP2025

The Monge-AmpÃ¨re system in dimension two is fully flexible in codimension two

Dominik Inauen, Marta Lewicka

We prove that every $C^{1} (I ¨ ˉ )$ -regular subsolution of the Monge-AmpÃ¨re system posed on a $2$ -dimensional domain $I ¨ $ and with target codimension $2$ , can be uniformly…