@article{SEDP_1988-1989____A17_0, author = {Nirenberg, L.}, title = {On fully nonlinear elliptic equations of second order}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:16}, pages = {1--6}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1988-1989}, mrnumber = {1032292}, zbl = {0778.35035}, language = {en}, url = {http://archive.numdam.org/item/SEDP_1988-1989____A17_0/} }
TY - JOUR AU - Nirenberg, L. TI - On fully nonlinear elliptic equations of second order JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:16 PY - 1988-1989 SP - 1 EP - 6 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://archive.numdam.org/item/SEDP_1988-1989____A17_0/ LA - en ID - SEDP_1988-1989____A17_0 ER -
%0 Journal Article %A Nirenberg, L. %T On fully nonlinear elliptic equations of second order %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:16 %D 1988-1989 %P 1-6 %I Ecole Polytechnique, Centre de Mathématiques %U http://archive.numdam.org/item/SEDP_1988-1989____A17_0/ %G en %F SEDP_1988-1989____A17_0
Nirenberg, L. On fully nonlinear elliptic equations of second order. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1988-1989), Talk no. 16, 6 p. http://archive.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. | MR | Zbl
,[C3] A localization property of viscosity solutions to the Monge-Ampère equations and their strict convexity, preprint. | MR | Zbl
,[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. | MR | Zbl
, , , ,[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. | MR | Zbl
, , ,[CNS2] The Dirichlet problem for nonlinear second order elliptic equations III. Functions of eigenvalues of the Hessian, Acta Math. 155 (1985), 261-301. | MR | Zbl
, , ,[CNS3] The Dirichlet problem for the degenerate Monge-Ampère equation, Rev. Mat. Iberoamericana 2 (1986), 19-27. | EuDML | MR | Zbl
, , ,[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. | MR | Zbl
, , ,[CNS5] Nonlinear second order equations V. The Dirichlet problem for Weingarten hypersurfaces, Comm. Pure Appl. Math. 41 (1988), 47-70. | MR | Zbl
, , ,[CNS6] On a form of Bernstein's Theorem, Analyse Math. et. Appl. (1988), 55-66, Gauthier-Villars, Paris. | MR | Zbl
, , ,[E] Classical solutions of fully nonlinear convex second order elliptic equations, Comm. Pure Appl. Math. 35 (1982), 333-363. | MR | Zbl
,[GT] Elliptic Partial Differential Equations of Second Order," Springer-Verlag, Berlin, 2nd ed'n., 1983. | MR | Zbl
, , "[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. | MR | Zbl
,[K] Nonlinear elliptic and parabolic equations of second order, " Nauka" Moscow (1985), Engl. transl'n., Reidel (1987). | MR | Zbl
,[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. | MR | Zbl
, ,[L] Some existence results for fully nonlinear elliptic equations of Monge-Ampère type, Comm. Pure Appl. Math., to appear. | MR | Zbl
,[N] Fully nonlinear elliptic equations, Proc. Symposium in Pure Math. AMS Vol. 48 (1988), 217-225. | MR | Zbl
,[T1] A priori bound for graphs with prescribed curvature, preprint. | MR | Zbl
,[T1] The Dirichlet problem for the prescribed curvature equations, in preparation. | Zbl
,[U] Regularity of generalized solutions of Monge-Ampère equation, preprint. | MR | Zbl
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