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

Pei-He Wang; Wei Zhang

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arXiv · 1003.2057

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

Pei-He Wang·Wei Zhang

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Abstract

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.

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Pei-He Wang, Wei Zhang. 2010-03-10. Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations. https://arxiv.org/abs/1003.2057

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