@article{AIHPC_1987__4_5_405_0, author = {Korevaar, Nicholas J.}, title = {A priori interior gradient bounds for solutions to elliptic Weingarten equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {4}, year = {1987}, pages = {405-421}, mrnumber = {921546}, zbl = {0644.35041}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1987__4_5_405_0} }
Korevaar, Nicholas J. A priori interior gradient bounds for solutions to elliptic Weingarten equations. Annales de l'I.H.P. Analyse non linéaire, Tome 4 (1987) pp. 405-421. http://gdmltest.u-ga.fr/item/AIHPC_1987__4_5_405_0/
[1] Estimates for Solutions of Quasilinear Elliptic Equations Connected with Problems of Geometry in the Large, Mat. Sbornik, Vol. 91, (133), 1973, pp. 336-349=Math. U.S.S.R.-Sbornik, Vol. 20, 1973, pp. 348-363. | MR 333441 | Zbl 0282.35043
and ,[2] Existence of Spherically Homeomorphic Hypersurfaces in Euclidean Space with Prescribed Mean Curvature, Geometry and Topology, Vol. 1, 1974, pp. 3-10, Leningrad.
and ,[3] Una maggiorazione a priori relative alle ipersupertici minimali nonparametriche, Arch. Rat. Mech. Anal, Vol. 32, 1969, pp. 255-269. | Zbl 0184.32803
, and ,[4] The Dirichlet Problem for Nonlinear Second Order Elliptic Equations. I. Monge-Ampère Equations, Comm. Pure Appl. Math., Vol. 37, 1984, pp. 369-402. | MR 739925 | Zbl 0598.35047
, and ,[5] The Dirichlet Problem for Nonlinear Second Order Equations. II. Complex Monge-Ampère, and uniformly Elliptic, Equations, Comm. Pure Appl. Math., Vol. 38, 1985, pp. 209-252. | MR 780073 | Zbl 0598.35048
, , and ,[6] The Dirichlet Problem for Nonlinear Second Order Elliptic Equations. III. Functions of eigenvalues of the Hessian, Acta. Math. (to appear). | MR 806416 | Zbl 0654.35031
, and ,[7] Nonlinear Second Order Elliptic Equations. IV. Starshaped Compact Weingarten Hypersurfaces (to appear). | MR 1112140 | Zbl 0672.35027
, and ,[8] New Estimates for Equations of Minimal Surface Type, Arch. Rat. Mech. Anal., Vol. 14, 1963, pp. 337-375. | MR 157096 | Zbl 0133.04601
,[9] An Inequality for Hyperbolic Polynomials, J. Math. and Mechanics, Vol. 8, 1959, pp. 957-965. | MR 113978 | Zbl 0090.01603
,[10] The Integral Method of Barrier Functions and the Dirichlet Problem for Equations with Operators of Monge-Ampère Type, Math. U.S.S.R.-Sbornik, Vol. 40, 1981, pp. 179-192. | Zbl 0467.35020
,[11] An Easy Proof of the Interior Gradient Bound for Solutions to the Prescribed Mean Curvature Problem, Trans. A.M.S. (to appear).
,[12] Boundedly Nonhomogeneous Elliptic and Parabolic Equations in a Domain, Izvestia Math. Ser., Vol. 47, 1983, pp. 75-108. | MR 688919 | Zbl 0578.35024
,[13] Hypersurfaces in Rn+1 with Prescribed Gaussian Curvature and Related Equations of Monge-Ampère Type, Comm. Part. Diff. Eqtns., Vol. 9, 1984, pp. 807-838. | MR 748368 | Zbl 0559.58031
,[14] The Minkowski Multi-Dimensional Problem, Wiley, New York, 1978.
,[15] Interior Gradient Bounds for Non-Uniformly Elliptic Equations, Indiana U. Math. J., Vol. 25, (9), 1976, pp. 821-855. | MR 412605 | Zbl 0346.35016
,[16] Embedded Hypersurfaces with Prescribed Mean Curvature, J. Diff. Geom., Vol. 18, 1983, pp. 513-521. | MR 723815 | Zbl 0529.53043
and ,[17] A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n Dimensions, Proc. Nat. Acad. Sci. U.S.A., Vol. 69, 1972, pp. 166-175. | MR 296832 | Zbl 0231.53007
,