期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 274, 期 1, 页码 252-277出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2017.10.002
关键词
Neumann boundary; Asymptotic behavior; Mean curvature equation; Additive eigenvalue problem
类别
资金
- NSFC [11471188]
- STPF of Shandong Province [J17KA161]
In this paper, we study nonparametric surfaces over strictly convex bounded domains in R-n, which are evolving by the mean curvature flow with Neumann boundary value. We prove that solutions converge to the ones moving only by translation. And we will prove the existence and uniqueness of the constant mean curvature equation with Neumann boundary value on strictly convex bounded domains. (C) 2017 Elsevier Inc. All rights reserved.
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