@article{AIHPC_1991__8_1_59_0, author = {Ye, Rugang}, title = {How to blow infinitely large soap bubbles with a fixed boundary}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {8}, year = {1991}, pages = {59-78}, mrnumber = {1094652}, zbl = {0736.49027}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1991__8_1_59_0} }
Ye, Rugang. How to blow infinitely large soap bubbles with a fixed boundary. Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) pp. 59-78. http://gdmltest.u-ga.fr/item/AIHPC_1991__8_1_59_0/
[1] Curvature Estimates for Minimal Surfaces in 3-Manifolds, Ann. Sci. Ec. Norm. Sup., T. 18, 1985, pp. 89-105. | Numdam | MR 803196 | Zbl 0578.49027
,[2] Do: Stability of Hypersurfaces with Constant Mean Curvature, Math. Z., Vol. 185, 1984, pp. 339-353. | MR 731682 | Zbl 0513.53002
and ,[3] Convergence of Solutions of H-Systems or How to Blow Bubbles, Arch. Rational Mech. Anal., Vol. 89, 1985, pp. 21-56. | MR 784102 | Zbl 0584.49024
and ,[4] Dirichlet's Principle, Conformal Mapping and Minimal Surfaces, Reprint, Springer, 1977, New York. | MR 454858 | Zbl 0354.30012
,[5] Geometric Measure Theory, Springer, 1969, New York. | MR 257325 | Zbl 0176.00801
,[6] Regularity of Minimizing Surfaces of Prescribed Mean Curvature. Ann. Math., Vol. 97, 1973, pp. 275-305. | MR 317188 | Zbl 0246.53053
,[7] Branched Immersions of Surfaces and Reduction of Topological Type I, Math. Z., Vol. 145, 1975, pp. 267-288. | MR 394679 | Zbl 0299.57014
,[8] Finiteness of the Ramified Set For Branched Immersions of Surfaces, Pac. J. Math., Vol. 64, 1976, pp. 153-165. | MR 467752 | Zbl 0336.55002
,[9] On Boundary Branch Points of Minimizing Surfaces, Arch. Rational Mech. Anal., Vol. 52, 1973, pp. 20-25. | MR 346641 | Zbl 0263.53009
and ,[10] An Inequality of Isoperimetric Type for Surfaces of Constant Mean Curvature, Arch. Rational Mech. Anal., Vol. 33, 1969, pp. 155-168. | MR 238188 | Zbl 0176.51602
,[11] Some Rrgularity Results for Quasilinear Elliptic Systems of Second Order, Math. Z., Vol. 142, 1975, pp. 67-86. | MR 377273 | Zbl 0317.35040
and ,[12] Generalized Second Fundamental Form and the Existence of Surfaces Minimizing Curvature, Research Report, No. 51, 1983, Center for Math. Analysis, Australian National University.
,[13] Vorlesungen über Minimalflächen, Springer, 1975, New York. | MR 448224 | Zbl 0319.53003
,[14] A Proof of the Regularity Everwhere of the Classical Solution of Plateau's Problem, Ann. Math., Vol. 91, 1970, pp. 550-569. | MR 266070 | Zbl 0194.22302
,[15] Estimates for Stable Minimal Surfaces in Three Dimensional Manifolds, Ann. Math. Studies, Vol. 103, Princeton Univ. Press, Princeton, 1983. | MR 795231 | Zbl 0532.53042
,[16] Lectures on Geometric Measure Theory, Proceed. Centre Math. Anal., Australian National University, Vol. 3, 1983. | MR 756417 | Zbl 0546.49019
,[17] Asymptotics for a Class of Nonlinear Evolution Equations, with Applications to Geometric Problems, Ann. Math., (2), Vol. 118, 1983, pp. 525-571. | MR 727703 | Zbl 0549.35071
,[18] Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt, Arch. Rational Mech. Anal., Vol. 49, 1972, pp. 99-128. | MR 341261 | Zbl 0259.53043
,[19] The Non-Existence of Branched Points in Solutions to Certain Clas of Plateau Type Variational Problems, Math. Z., Vol. 163, 1978, pp. 211-238. | Zbl 0404.49037
and ,[20] Plateau's Problem and the Calculus of Variations, Lec. Notes, No. 32, SFB 72, Bonn, 1986.
,[21] Exterior Plateau problem, Preprint, Heidelberg, 1988. | MR 1076131
and[22] A General Existence Theorem for Surfaces of Constant Mean Curvature, Math. Z., Vol. 120, 1971, pp. 277-288. | MR 282300 | Zbl 0214.11101
,[23] Large Solutions to the Volume Constrained Plateau Problem, Arch. Rational Mech. Anal., Vol. 75, 1980, pp. 59-77. | MR 592104 | Zbl 0473.49029
,