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Superharmonicity of curvature function for the convex level sets of harmonic functions
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-30 , DOI: 10.1007/s00526-021-02023-4 Xi-Nan Ma , Wei Zhang
中文翻译:
调和函数凸水平集的曲率函数超调和性
更新日期:2021-06-30
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-30 , DOI: 10.1007/s00526-021-02023-4 Xi-Nan Ma , Wei Zhang
We prove that the combination of the norm of gradient and the Gaussian curvature for the convex level sets of harmonic function is superharmonic.
中文翻译:
调和函数凸水平集的曲率函数超调和性
我们证明了梯度范数和高斯曲率的谐波函数凸水平集的组合是超谐波的。