@article{AIHPC_1989__6_4_251_0,
author = {Ecker, Klaus and Huisken, Gerhard},
title = {Interior curvature estimates for hypersurfaces of prescribed mean curvature},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {251--260},
year = {1989},
publisher = {Gauthier-Villars},
volume = {6},
number = {4},
mrnumber = {998603},
zbl = {0683.53007},
language = {en},
url = {https://www.numdam.org/item/AIHPC_1989__6_4_251_0/}
}
TY - JOUR AU - Ecker, Klaus AU - Huisken, Gerhard TI - Interior curvature estimates for hypersurfaces of prescribed mean curvature JO - Annales de l'I.H.P. Analyse non linéaire PY - 1989 SP - 251 EP - 260 VL - 6 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPC_1989__6_4_251_0/ LA - en ID - AIHPC_1989__6_4_251_0 ER -
%0 Journal Article %A Ecker, Klaus %A Huisken, Gerhard %T Interior curvature estimates for hypersurfaces of prescribed mean curvature %J Annales de l'I.H.P. Analyse non linéaire %D 1989 %P 251-260 %V 6 %N 4 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPC_1989__6_4_251_0/ %G en %F AIHPC_1989__6_4_251_0
Ecker, Klaus; Huisken, Gerhard. Interior curvature estimates for hypersurfaces of prescribed mean curvature. Annales de l'I.H.P. Analyse non linéaire, Tome 6 (1989) no. 4, pp. 251-260. https://www.numdam.org/item/AIHPC_1989__6_4_251_0/
[1] , and , Una maggiorazione apriori relative alle ipersuperfici minimali non parametriche, Arch. Rat. Mech. Anal., Vol. 32, 1969, pp. 255-269. | Zbl
[2] , and , On a Form of Bernstein's Theorem, preprint (to appear). | MR
[3] and , On Capillary Free Surfaces in a Gravitational Field, Acta Math., Vol. 132, 1974, pp. 207-223. | Zbl | MR
[4] , An Interior Gradient Bound for Solutions of Equations of Capillary Type, Arch. Rat. Mech. Anal., Vol. 92, 1986, pp. 137-151. | MR
[5] and , A Bernstein Result for Minimal Graphs of Controlled Growth, J. Diff. Geom. (to appear). | Zbl | MR
[6] , On Equations of Minimal Surface Type, Ann. of Math. (2), Vol. 60, 1954, pp. 397-415. | Zbl | MR
[7] and , Elliptic Partial Differential Equations of Second Order (2nd edition), Springer-Verlag, Berlin-Heidelberg, New York, 1983. | Zbl | MR
[8] , Über die Lösungen der Minimalflächengleichung, Nachr. Akad. Wiss. Göttingen Math. Phys. Kl, Vol. II, 1952, pp. 51-56. | Zbl | MR
[9] , Interior Gradient Estimates for Surfaces z = F (x, y) with Prescribed Mean Curvature, J. Diff. Geom., Vol. 5, 1971, pp. 149-157. | Zbl | MR
[10] , An Easy Proof of the Interior Gradient Bound for Solutions to the Prescribed Mean Curvature Equation, Proc. Symp. Pure Math., Vol. 45, 1986, Part 2. | Zbl | MR
[11] and , Local Estimates for Gradients of Solutions of Nonuniformly Elliptic and Parabolic Equations, Comm. Pure Appl. Math., Vol. 23, 1970, pp. 677-703. | Zbl | MR
[12] and , Sobolev and Mean Value Inequalities on Generalized Submanifolds of R", Comm. Pure Appl. Math., Vol. 26, 1973, pp. 361-379. | Zbl | MR
[13] , A New Proof of De Giorgi's Theorem Concerning the Regularity Problem for Elliptic Differential Equations, Comm. Pure Appl. Math., Vol. 13, 1960, pp. 457- 468. | Zbl | MR
[14] , and , Curvature Estimates for Minimal Hypersurfaces, Acta Math., Vol. 134, 1975, pp. 275-288. | Zbl | MR
[15] and , Existence and Regularity of a Capillary Surface with Prescribed Contact Angle, Arch. Rat. Mech. Anal., Vol. 61, 1976, pp. 19-34. | Zbl | MR
[16] , A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n-Dimensions, Proc. Nat. Acad. Sci. U.S.A., Vol. B69B, 1972. pp. 821-823. | Zbl | MR
[17] , Gradient Estimates and Mean Curvature, Math. Z., Vol. 131, 1973. pp. 165-175. | Zbl | MR
[18] , Lectures on Minimal Surfaces, Vol. I (to appear). | MR






