2 papers
math.AP2026
Exterior Dirichlet Problems for Hessian Quotient Equations of Mixed Type
Yu Lei, Zhisu Li
We study the exterior Dirichlet problem for the mixed Hessian quotient equation \[ \frac{σ_k(η(D^2 u))}{σ_l(η(D^2 u))} = 1, \] where . We establi…
math.AP2026
Regularity criteria for the surface growth model with a forcing term
Yuqian Cheng, Zhisu Li, Xuening Wei
Based on a compactness method, we establish regularity criteria for suitable weak solutions to the surface growth model with a forcing term. These criteria imply that the Hölder r…