A FREE-BOUNDARY PROBLEM FOR CAPILLARY SURFACES

被引:6
作者
ATHANASSENAS, M
机构
[1] Institut für Mathematik der Universität Augsburg, Augsburg, 8900
关键词
D O I
10.1007/BF02567743
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove existence and regularity of capillary surfaces between two parallel hyperplanes in R(n). By geometrical arguments we also derive some properties of the minimizers of the functional related to the problem.
引用
收藏
页码:5 / 19
页数:15
相关论文
共 22 条
[1]  
[Anonymous], 1973, ANN U FERRARA
[2]  
ATHANASSENAS M, 1987, J REINE ANGEW MATH, V377, P97
[3]   STABILITY OF HYPERSURFACES WITH CONSTANT MEAN-CURVATURE [J].
BARBOSA, JL ;
DOCARMO, M .
MATHEMATISCHE ZEITSCHRIFT, 1984, 185 (03) :339-353
[4]  
De Giorgi E, 1972, FRONTIERE ORIENTATE
[5]  
DEGIORGI E, 1958, ATTI ACADEMIE NATI 8, V5
[6]  
Delaunay C., 1841, J MATH PURES APPL SE, V1, P309
[7]  
GERHARDT C, 1974, B UN MAT ITAL 5, V10, P317
[8]  
GIUSTI E, 1981, J REINE ANGEW MATH, V321, P53
[9]  
GIUSTI E, MINIMAL SURFACES FUN
[10]   ON THE REGULARITY OF BOUNDARIES OF SETS MINIMIZING PERIMETER WITH A VOLUME CONSTRAINT [J].
GONZALEZ, E ;
MASSARI, U ;
TAMANINI, I .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1983, 32 (01) :25-37