@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},
pages = {59--78},
year = {1991},
publisher = {Gauthier-Villars},
volume = {8},
number = {1},
mrnumber = {1094652},
zbl = {0736.49027},
language = {en},
url = {https://www.numdam.org/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) no. 1, pp. 59-78. https://www.numdam.org/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. | Zbl | MR | Numdam
[2] and , Do: Stability of Hypersurfaces with Constant Mean Curvature, Math. Z., Vol. 185, 1984, pp. 339-353. | Zbl | MR
[3] and , Convergence of Solutions of H-Systems or How to Blow Bubbles, Arch. Rational Mech. Anal., Vol. 89, 1985, pp. 21-56. | Zbl | MR
[4] , Dirichlet's Principle, Conformal Mapping and Minimal Surfaces, Reprint, Springer, 1977, New York. | Zbl | MR
[5] , Geometric Measure Theory, Springer, 1969, New York. | Zbl | MR
[6] , Regularity of Minimizing Surfaces of Prescribed Mean Curvature. Ann. Math., Vol. 97, 1973, pp. 275-305. | Zbl | MR
[7] , Branched Immersions of Surfaces and Reduction of Topological Type I, Math. Z., Vol. 145, 1975, pp. 267-288. | Zbl | MR
[8] , Finiteness of the Ramified Set For Branched Immersions of Surfaces, Pac. J. Math., Vol. 64, 1976, pp. 153-165. | Zbl | MR
[9] and , On Boundary Branch Points of Minimizing Surfaces, Arch. Rational Mech. Anal., Vol. 52, 1973, pp. 20-25. | Zbl | MR
[10] , An Inequality of Isoperimetric Type for Surfaces of Constant Mean Curvature, Arch. Rational Mech. Anal., Vol. 33, 1969, pp. 155-168. | Zbl | MR
[11] and , Some Rrgularity Results for Quasilinear Elliptic Systems of Second Order, Math. Z., Vol. 142, 1975, pp. 67-86. | Zbl | MR
[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. | Zbl | MR
[14] , A Proof of the Regularity Everwhere of the Classical Solution of Plateau's Problem, Ann. Math., Vol. 91, 1970, pp. 550-569. | Zbl | MR
[15] , Estimates for Stable Minimal Surfaces in Three Dimensional Manifolds, Ann. Math. Studies, Vol. 103, Princeton Univ. Press, Princeton, 1983. | Zbl | MR
[16] , Lectures on Geometric Measure Theory, Proceed. Centre Math. Anal., Australian National University, Vol. 3, 1983. | Zbl | MR
[17] , Asymptotics for a Class of Nonlinear Evolution Equations, with Applications to Geometric Problems, Ann. Math., (2), Vol. 118, 1983, pp. 525-571. | Zbl | MR
[18] , Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt, Arch. Rational Mech. Anal., Vol. 49, 1972, pp. 99-128. | Zbl | MR
[19] and , 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
[20] , Plateau's Problem and the Calculus of Variations, Lec. Notes, No. 32, SFB 72, Bonn, 1986.
[21] and Exterior Plateau problem, Preprint, Heidelberg, 1988. | MR
[22] , A General Existence Theorem for Surfaces of Constant Mean Curvature, Math. Z., Vol. 120, 1971, pp. 277-288. | Zbl | MR
[23] , Large Solutions to the Volume Constrained Plateau Problem, Arch. Rational Mech. Anal., Vol. 75, 1980, pp. 59-77. | Zbl | MR





