Phragmen-Lindelof theorem for minimal surface equations in higher dimensions

被引：1

作者：

Hsieh, CC ^{[1
]}

Hwang, JF ^{[1
]}

Liang, FT ^{[1
]}

机构：

[1] Acad Sinica, Dept Math, Taipei 115, Taiwan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2002年 / 207卷 / 01期

关键词：

D O I：

10.2140/pjm.2002.207.183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we prove that if u satisfies the minimal surface equation in an unbounded domain which is properly contained in a halfspace of R-n, with n greater than or equal to 2, then the growth rate of u is of the same order as that of the shape of Omega and the boundary value of u.

引用

页码：183 / 198

页数：16

共 10 条

[1] [Anonymous], 2013, SURVEY MINIMAL SURFA
[2] Finn R., 1989, Journal of the Faculty of Science, University of Tokyo, Section 1A (Mathematics), V36, P131
[3] Finn R., 1986, EQUILIBRIUM CAPILLAR
[4] Gilbar D., 1983, ELLIPTIC PARTIAL DIF
[5] GROWTH PROPERTY FOR THE MINIMAL SURFACE EQUATION IN UNBOUNDED-DOMAINS
HWANG, JF
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (04) : 1027 - 1037
[6] Catenoid-like solutions for the minimal surface equation
Hwang, JF
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1998, 183 (01) : 91 - 102
[7] PHRAGMEN-LINDELOF THEOREM FOR THE MINIMAL SURFACE EQUATION
HWANG, JF
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 104 (03) : 825 - 828
[8] ON NEW RESULTS IN THEORY OF MINIMAL SURFACES
NITSCHE, JCC
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 71 (02) : 195 - &
[9] NITSCHE JCC, 1975, VORELSUNGEN MINIMALF
[10] Protter M.H., 1967, MAXIMUM PRINCIPLE DI

← 1 →