The Dirichlet problem for a prescribed mean curvature equation

被引：0

作者：

Tsukamoto, Yuki ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Tokyo 1528551, Japan

来源：

HIROSHIMA MATHEMATICAL JOURNAL | 2020年 / 50卷 / 03期

关键词：

Prescribed mean curvature; Fixed point theorem; SURFACES; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：325 / 337

页数：13

共 13 条

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