3 papers
math.AP2026
A remark on staircase laminates in restricted sets
Igor Buchowiec, Pholphum Kamthorntaksina, Katarzyna Mazowiecka +2
We slightly extend the convex integration via staircase laminate toolbox recently developed by Kleiner, Müller, Székelyhidi, and Xie. As an example we revisit the proof by Astala…
math.AP2025
Non-uniqueness and failure of Calderón-Zygmund estimates below the critical exponent for non-monotone PDE with linear growth
Akshara Vincent
We provide counterexamples to uniqueness of solutions as well as a priori Calderón-Zygmund estimates for solutions below using convex integration argument for equations of t…
math.AP2025
Hölder continuity of Minimizing -Harmonic Maps
Akshara Vincent
We show that the mappings into manifolds of a sufficiently simple topology that minimize the energy $$\int_{\mathbb{R}^…