@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}, pages = {405--421}, publisher = {Gauthier-Villars}, volume = {4}, number = {5}, year = {1987}, mrnumber = {921546}, zbl = {0644.35041}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1987__4_5_405_0/} }
TY - JOUR AU - Korevaar, Nicholas J. TI - A priori interior gradient bounds for solutions to elliptic Weingarten equations JO - Annales de l'I.H.P. Analyse non linéaire PY - 1987 SP - 405 EP - 421 VL - 4 IS - 5 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1987__4_5_405_0/ LA - en ID - AIHPC_1987__4_5_405_0 ER -
%0 Journal Article %A Korevaar, Nicholas J. %T A priori interior gradient bounds for solutions to elliptic Weingarten equations %J Annales de l'I.H.P. Analyse non linéaire %D 1987 %P 405-421 %V 4 %N 5 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1987__4_5_405_0/ %G en %F 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) no. 5, pp. 405-421. http://archive.numdam.org/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 | Zbl
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
, 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 | Zbl
, 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 | Zbl
, , and ,[6] The Dirichlet Problem for Nonlinear Second Order Elliptic Equations. III. Functions of eigenvalues of the Hessian, Acta. Math. (to appear). | MR | Zbl
, and ,[7] Nonlinear Second Order Elliptic Equations. IV. Starshaped Compact Weingarten Hypersurfaces (to appear). | MR | Zbl
, and ,[8] New Estimates for Equations of Minimal Surface Type, Arch. Rat. Mech. Anal., Vol. 14, 1963, pp. 337-375. | MR | Zbl
,[9] An Inequality for Hyperbolic Polynomials, J. Math. and Mechanics, Vol. 8, 1959, pp. 957-965. | MR | Zbl
,[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
,[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 | Zbl
,[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 | Zbl
,[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 | Zbl
,[16] Embedded Hypersurfaces with Prescribed Mean Curvature, J. Diff. Geom., Vol. 18, 1983, pp. 513-521. | MR | Zbl
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 | Zbl
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