most citedConvexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations

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math.AP2023

A stronger constant rank theorem

Qinfeng Li, Lu Xu

Motivated from one-dimensional rigidity results of entire solutions to Liouville equation, we consider the semilinear equation \begin{align} \label{liouvilleequationab} Δu=G(u) \qu…

math.AP2010★ 2 cited

Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations

Pengfei Guan, Lu Xu

We establish a geometric lower bound for the principal curvature of the level surfaces of solutions to in convex ring domains, under a refined structural cond…