1 |
M. Anderson, Curvature estimates for minimal surfaces in 3-manifolds, Ann. Sci. Ecole. Norm. Sup. (4) 18 (1985), 89-105
DOI
|
2 |
T. H. Colding and W. P. Minicozzi, Minimal surfaces, Courant Lect. Notes Math. 4 (1999)
|
3 |
J. Douglas, The problem of Plateau for two contours, J. Math. Phys. Masschusetts Inst. of Tech. 10 (1930/31), 315-359
|
4 |
Yi Fang and Jenn-Fang Hwang, Curvature estimates for minimal annuli and non- compact Douglas-Plateau problem, Comm. Anal. Geom. 8 (2000), no. 4, 871-904
DOI
|
5 |
D. Hoffman and W. Meeks, A variational approach to the existence of complete embedded minimal surfaces, Duke. Math. J. 57 (1988), 877-893
DOI
|
6 |
D. Hoffman and W. Meeks, The strong halfspace theorem for minimal surface, Invent. Math. 101 (1990), 373-377
DOI
|
7 |
H. Jenkins and J. Serrin, Variational problems of minimal surface type, 2, Bound-ary value problems for the minimal surface equation, Arch. Ration. Mech. Anal.21 (1966), 321-342
|
8 |
J. Perez and A. Ros, Properly embedded minimal surfaces with finite total curvature, in the global theory of minimal surfaces in flat spaces, Lecture Notes in Math. 1775 (2002), 15-66
|
9 |
B. Riemann, Uber die Flache vom kleinsten Inhalt bei gegebener Begrebzung, Abh. Konigl. d. Wiss. Gottingen, Mathem. Cl. 13 (1867), 3-52
|
10 |
B. White, Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals, Invent. Math. 88 (1987), 243-256
DOI
|
11 |
W. Meeks and B. White, Minimal surfaces bounded by convex curves in parallel planes, Comm. Math. Helv. 66 (1991), 263-278
DOI
|
12 |
M. Shiffman, On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes, Ann. of Math. 63 (1956), 77-90
DOI
ScienceOn
|
13 |
J. Perez and A. Ros, Properly embedded minimal annuli bounded by a convex curve, J. Inst. Math. Jussieu 1(2) (2002), 293-305
DOI
|
14 |
N. Korevaar, R. Kusner, and B. Solomon, The structure of complete embedded surfaces with constant mean curvature, J. Differential Geom. 30 (1989), 465-503
DOI
|
15 |
F. Lopez, The classification of complete minimal surfaces with total curvature greater than , Trans. Amer. Math. Soc. 334 (1992), 49-74
DOI
ScienceOn
|