arXiv subjects

Pei-He Wang

Publications and source records attributed to Pei-He Wang.

2 recordsLinked to original sources

arXiv2013

The Concavity of the Gaussian Curvature of the convex level sets of minimal surface with respect to the height

For the minimal graph with strict convex level sets, we find an auxiliary function to study the Gaussian curvature of the level sets. We prove that this curvature function is a concave function with respect to the height of the minimal surface while this auxiliary function is almost sharp when the minimal surface is the Catenoid.

math.AP↗

arXiv2010

Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations

We give a lower bound for the Gaussian curvature of convex level sets of minimal graphs and the solutions to semilinear elliptic equations with the norm of boundary gradient and the Gaussian curvature of the boundary.

math.AP↗