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

2010/03/10 by Peihe Wang, Wei Zhang, Wang, Pei-He +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1003.2057

openalex publication_date 2010/03/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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