Prescribed mean curvature equation on torus
Analysis of PDEs
2020-11-12 v1 Differential Geometry
Abstract
Prescribed mean curvature problems on the torus has been considered in one dimension. In this paper, we prove the existence of a graph on the -dimensional torus , the mean curvature vector of which equals the normal component of a given vector field satisfying suitable conditions for a Sobolev norm, the integrated value, and monotonicity.
Keywords
Cite
@article{arxiv.2011.05469,
title = {Prescribed mean curvature equation on torus},
author = {Yuki Tsukamoto},
journal= {arXiv preprint arXiv:2011.05469},
year = {2020}
}
Comments
11 pages