@article{SEDP_1988-1989____A17_0,
author = {Nirenberg, L.},
title = {On fully nonlinear elliptic equations of second order},
journal = {S\'eminaire Goulaouic-Schwartz},
note = {talk:16},
pages = {1--6},
year = {1988-1989},
publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
mrnumber = {1032292},
zbl = {0778.35035},
language = {en},
url = {https://www.numdam.org/item/SEDP_1988-1989____A17_0/}
}
TY - JOUR AU - Nirenberg, L. TI - On fully nonlinear elliptic equations of second order JO - Séminaire Goulaouic-Schwartz N1 - talk:16 PY - 1988-1989 SP - 1 EP - 6 PB - Ecole Polytechnique, Centre de Mathématiques UR - https://www.numdam.org/item/SEDP_1988-1989____A17_0/ LA - en ID - SEDP_1988-1989____A17_0 ER -
Nirenberg, L. On fully nonlinear elliptic equations of second order. Séminaire Goulaouic-Schwartz (1988-1989), Exposé no. 16, 6 p.. https://www.numdam.org/item/SEDP_1988-1989____A17_0/
[C1] , "Elliptic second order equations. Lectures of Accademia dei Lincei," Cambridge Univ. Press, to appear.
[C2] , Interior a priori estimates for solutions of fully nonlinear equations, preprint. | Zbl | MR
[C3] , A localization property of viscosity solutions to the Monge-Ampère equations and their strict convexity, preprint. | Zbl | MR
[CKNS] , , , , The Dirichlet problem for nonlinear second order elliptic equations II. Complex Monge-Ampère and uniformly elliptic equations, Comm. Pure Appl. Math. 38 (1985), 209-252. | Zbl | MR
[CNS1] , , , The Dirichlet problem for nonlinear second order elliptic equations I. Monge-Ampère equations, Comm. Pure Appl. Math. 37 (1984), 369-402. See also correction in 40 (1987) 659-662. | Zbl | MR
[CNS2] , , , The Dirichlet problem for nonlinear second order elliptic equations III. Functions of eigenvalues of the Hessian, Acta Math. 155 (1985), 261-301. | Zbl | MR
[CNS3] , , , The Dirichlet problem for the degenerate Monge-Ampère equation, Rev. Mat. Iberoamericana 2 (1986), 19-27. | Zbl | MR | EuDML
[CNS4] , , , Nonlinear second order equations IV. Star-shaped compact Weingarten surfaces, Current Topics in Partial Differential Equations (1986), 1-26, ed. by Y. Ohya et. al., Kinokunize Co. Tokyo. | Zbl | MR
[CNS5] , , , Nonlinear second order equations V. The Dirichlet problem for Weingarten hypersurfaces, Comm. Pure Appl. Math. 41 (1988), 47-70. | Zbl | MR
[CNS6] , , , On a form of Bernstein's Theorem, Analyse Math. et. Appl. (1988), 55-66, Gauthier-Villars, Paris. | Zbl | MR
[E] , Classical solutions of fully nonlinear convex second order elliptic equations, Comm. Pure Appl. Math. 35 (1982), 333-363. | Zbl | MR
[GT] , , "Elliptic Partial Differential Equations of Second Order," Springer-Verlag, Berlin, 2nd ed'n., 1983. | Zbl | MR
[I] , Solution of the Dirichlet problem for the equation of curvature of order m, Dokl Akad. Nauk. CCCP 299 (1988), 35-38; Soviet Math. Dokl. 37 (1988) 322-325. | Zbl | MR
[K] , Nonlinear elliptic and parabolic equations of second order, " Nauka" Moscow (1985), Engl. transl'n., Reidel (1987). | Zbl | MR
[KS] , , Certain properties of solutions of parabolic equations with measurable coefficients, Izv. Akad. Nauk. SSSR 40 (1980), 161-175; Engl. transl'n. Math. USSR-Izv. 16 (1981) 151-164. | Zbl | MR
[L] , Some existence results for fully nonlinear elliptic equations of Monge-Ampère type, Comm. Pure Appl. Math., to appear. | Zbl | MR
[N] , Fully nonlinear elliptic equations, Proc. Symposium in Pure Math. AMS Vol. 48 (1988), 217-225. | Zbl | MR
[T1] , A priori bound for graphs with prescribed curvature, preprint. | Zbl | MR
[T1] , The Dirichlet problem for the prescribed curvature equations, in preparation. | Zbl
[U] , Regularity of generalized solutions of Monge-Ampère equation, preprint. | Zbl | MR






