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math.AP2025
Long Time Existence of A Flow of Elliptic Systems
Woongbae Park, Lei Zhang
For elliptic systems defined on Riemann surfaces, Liouville and Toda systems represent two well-known classes exhibiting drastically different solution structures. Over the years,…
math.AP2024
Obstacles for Sobolev-homeomorphisms with low rank -- pointwise a.e. vs distributional Jacobians
Woongbae Park, Armin Schikorra
We show that for any and there exist neither -Sobolev nor -Hölder homeomorphisms from the disk into …