Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations
Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations
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DOI：
10.4208/jpde.v25.n3.4
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发表时间：
2010-03
期刊：
影响因子：
--
通讯作者：
Peihe Wang;Wei Zhang
中科院分区：
文献类型：
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作者：
Peihe Wang;Wei Zhang
给出了极小图的凸水平集的Gauss曲率的一个下界，以及具有边界梯度范数和边界Gauss曲率的半线性椭圆方程的解.
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.