| Translating Solutions of the Nonparametric Mean Curvature Flow with Nonzero Neumann Boundary Data in Product Manifold Mn × R* |
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| 作者姓名： | Deliang XU Ya GAO Yi-Juan GONG |
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| 摘 要： | In this paper, the authors can prove the existence of translating solutions to the nonparametric mean curvature flow with nonzero Neumann boundary data in a prescribed product manifold Mn × R, where Mn is an n-dimensional (n ≥ 2) complete Riemannian manifold with nonnegative Ricci curvature, and R is the Euclidean 1-space.
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| 收稿时间： | 2020/12/29 0:00:00 |
| 修稿时间： | 2021/12/24 0:00:00 |
Translating Solutions of the Nonparametric Mean Curvature Flow with Nonzero Neumann Boundary Data in Product Manifold Mn × ? |
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| Deliang XU,Ya GAO,Yi-Juan GONG.Translating Solutions of the Nonparametric Mean Curvature Flow with Nonzero Neumann Boundary Data in Product Manifold Mn × ?[J].Chinese Annals of Mathematics,Series B,2022,43(4):601-620. |
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| Authors: | Gao Ya Gong Yi-Juan Mao Jing |
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| Institution: | Corresponding author. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.;Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province,Hubei University, Wuhan 430062, China. |
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| Abstract: | In this paper, the authors can prove the existence of translating solutions to the nonparametric mean curvature flow with nonzero Neumann boundary data in a prescribed product manifold Mn × ?, where Mn is an n-dimensional (n ≥ 2) complete Riemannian manifold with nonnegative Ricci curvature, and ? is the Euclidean 1-space. |
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| Keywords: | Translating solutions Singularity Nonparametric mean curvature flow Convexity Ricci curvature |
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