2 papers
math.AP2026
The exterior Dirichlet problem for special Lagrangian equations
Yu Lei, Zhisu Li
We establish the existence and uniqueness theorem for the exterior Dirichlet problem for the special Lagrangian equation with prescribed asymptotic behavior at infinity, in both th…
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…