Construction of Complete Embedded Self-Similar Surfaces under Mean Curvature Flow. Part II
Differential Geometry
2019-09-19 v1
Abstract
We study the Dirichlet problem associated to the equation for self-similar surfaces for graphs over the Euclidean plane with a disk removed. We show the existence of a solution provided the boundary conditions on the boundary circle are small enough and satisfy some symmetries. This is the second step towards the construction of new examples of complete embedded self similar surfaces under mean curvature flow.
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Cite
@article{arxiv.0704.0981,
title = {Construction of Complete Embedded Self-Similar Surfaces under Mean Curvature Flow. Part II},
author = {Xuan Hien Nguyen},
journal= {arXiv preprint arXiv:0704.0981},
year = {2019}
}
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30 pages