GRAPHS WITH PRESCRIBED MEAN-CURVATURE ON POINCARE DISK

被引：4

作者：

DUC, DM

HIEU, NV

机构：

[1] Department of Mathematics, University of Hochiminh City, Hochiminh City

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1995年 / 27卷

关键词：

D O I：

10.1112/blms/27.4.353

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the existence and uniqueness of a solution of a quasilinear elliptic equation in the unit disk of R(2). Using this result, we obtain the existence of graphs with prescribed curvature on the Poincare disk.

引用

页码：353 / 358

页数：6

共 50 条

[1] ON A CLASS OF GRAPHS WITH PRESCRIBED MEAN-CURVATURE
DUC, DM
SALAVESSA, IMC
[J]. MANUSCRIPTA MATHEMATICA, 1994, 82 (3-4) : 227 - 239
[2] GRAPHS WITH PRESCRIBED MEAN-CURVATURE ON HYPERBOLIC SPACES
DUC, DM
HIEU, NV
[J]. MANUSCRIPTA MATHEMATICA, 1994, 83 (02) : 111 - 121
[3] Constructing Graphs over Rn with Small Prescribed Mean-Curvature
Carley, Holly
Kiessling, Michael K. -H.
[J]. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2015, 18 (01) : 1 - 25
[4] A NEW PROOF OF THE GRADIENT ESTIMATE FOR GRAPHS OF PRESCRIBED MEAN-CURVATURE
SAUVIGNY, F
[J]. MANUSCRIPTA MATHEMATICA, 1992, 74 (01) : 83 - 86
[5] PERIODIC SURFACES OF PRESCRIBED MEAN-CURVATURE
ANDERSON, DM
DAVIS, HT
SCRIVEN, LE
NITSCHE, JCC
[J]. ADVANCES IN CHEMICAL PHYSICS, 1990, 77 : 337 - 396
[6] GRAPHS WITH PARALLEL MEAN-CURVATURE
SALAVESSA, IMD
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 107 (02) : 449 - 458
[7] EVOLUTIONARY SURFACES OF PRESCRIBED MEAN-CURVATURE
GERHARDT, C
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 36 (01) : 139 - 172
[8] EMBEDDED HYPERSPHERES WITH PRESCRIBED MEAN-CURVATURE
TREIBERGS, AE
WEI, SW
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1983, 18 (03) : 513 - 521
[9] UNSTABLE SURFACE OF PRESCRIBED MEAN-CURVATURE
STROHMER, G
[J]. MATHEMATISCHE ZEITSCHRIFT, 1980, 174 (02) : 119 - 133
[10] CONVERGENCE OF SURFACES OF PRESCRIBED MEAN-CURVATURE
PACARD, F
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (11) : 1269 - 1281

← 1 2 3 4 5 →