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math.DG2022
On the asymptotic Plateau problem in hyperbolic space
Siyuan Lu
In this paper, we solve the asymptotic Plateau problem in hyperbolic space for constant curvature, i.e. the existence of a complete hypersurface in sat…
math.AP2022★ 1 cited
On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase
Siyuan Lu
In this paper, we solve the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. A crucial ingredient is the interior estimate. Our result i…