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math.AP2026
Sharp Hessian integrability for the planar Monge--Ampère equation
XiaoRui Lu, Jin Yan, Bao Yu +1
We determine the optimal local integrability of the Hessian for planar convex Alexandrov solutions satisfying The distributional Hes…
math.AP2026
Liouville Rigidity and Universal Spacelikeness Estimates for a Lorentzian Prescribed Mean Curvature Equation
Xi-Nan Ma, Tian Wu, Wangzhe Wu +1
We prove a Liouville theorem for nonnegative entire strictly spacelike solutions of \[ \operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)+u^p=0 \qquad\text{in }\…