Author

Yu Lei

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Preprint Sep 2026

The exterior Dirichlet problem for special Lagrangian equations

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 the viscosity setting for all the phases and classical setting for the critical and supercritical phases. These results generalize previous wo...

Yu Lei, Zhi-Su Li · 0 citations

Preprint Aug 2026

Exterior Dirichlet Problems for Hessian Quotient Equations of Mixed Type

We study the exterior Dirichlet problem for the mixed Hessian quotient equation \[ \frac{\sigma_k(\eta(D^2 u))}{\sigma_l(\eta(D^2 u))} = 1, \] where $\eta(M) = (\operatorname{tr} M)I - M$. We establish existence and uniqueness of smooth admissible solutions with prescribed quadratic asymptotics at infinity, and obtain...

Yu Lei, Zhi-Su Li · 0 citations