Boundary Continuity of Nonparametric Prescribed Mean Curvature Surfaces

被引：3

作者：

Entekhabi, Mozhgan Nora ^{[1
]}

Lancaster, Kirk E. ^{[1
]}

机构：

[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2020年 / 24卷 / 02期

关键词：

prescribed mean curvature; Dirichlet problem; boundary continuity; DIRICHLET PROBLEM; RADIAL LIMITS; EXISTENCE; EQUATIONS; BEHAVIOR;

D O I：

10.11650/tjm/190504

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the boundary behavior of variational solutions of Dirichlet problems for prescribed mean curvature equations at smooth boundary points where certain boundary curvature conditions are satisfied (which preclude the existence of local barrier functions). We prove that if the Dirichlet boundary data phi is continuous at such a point (and possibly nowhere else), then the solution of the variational problem is continuous at this point.

引用

页码：483 / 499

页数：17

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