The Dirichlet problem for a prescribed mean curvature equation
Analysis of PDEs
2019-08-20 v1
Abstract
We study a prescribed mean curvature problem where we seek a surface whose mean curvature vector coincides with the normal component of a given vector field. We prove that the problem has a solution near a graphical minimal surface if the prescribed vector field is sufficiently small in a dimensionally sharp Sobolev norm.
Cite
@article{arxiv.1908.06584,
title = {The Dirichlet problem for a prescribed mean curvature equation},
author = {Yuki Tsukamoto},
journal= {arXiv preprint arXiv:1908.06584},
year = {2019}
}
Comments
10 pages