3 papers
math.AP2025
The Monge-Ampere system in dimension two and codimension three
Dominik Inauen, Marta Lewicka
We revisit the convex integration constructions for the Monge-Ampère system and prove its flexibility in dimension and codimension , up to …
math.AP2024
The Monge-Ampere system in dimension two: a further regularity improvement
Marta Lewicka
We prove a convex integration result for the Monge-Ampère system, in case of dimension and arbitrary codimension . Our prior result stated flexibility up to the Höld…
math.AP2018
Visualization of the convex integration solutions to the Monge-Ampère equation
Luca Codenotti, Marta Lewicka
In this article, we implement the algorithm based on the convex integration result proved in [Lewicka-Pakzad Analysis and PDE (2017)] and obtain visualizations of the first iterati…