On fully nonlinear elliptic equations of second order

 Access to full text

 Full (PDF)

1. [C1] L.A. Caffarelli, "Elliptic second order equations. Lectures of Accademia dei Lincei," Cambridge Univ. Press, to appear. 
2. [C2] L.A. Caffarelli, Interior a priori estimates for solutions of fully nonlinear equations, preprint. Zbl0692.35017MR1005611
3. [C3] L.A. Caffarelli, A localization property of viscosity solutions to the Monge-Ampère equations and their strict convexity, preprint. Zbl0704.35045
4. [CKNS] L. Caffarelli, J.J. Kohn, L. Nirenberg, J. Spruck, 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. Zbl0598.35048MR780073
5. [CNS1] L. Caffarelli, L. Nirenberg, J. Spruck, 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. Zbl0641.35025MR739925
6. [CNS2] L. Caffarelli, L. Nirenberg, J. Spruck, The Dirichlet problem for nonlinear second order elliptic equations III. Functions of eigenvalues of the Hessian, Acta Math.155 (1985), 261-301. Zbl0654.35031MR806416
7. [CNS3] L. Caffarelli, L. Nirenberg, J. Spruck, The Dirichlet problem for the degenerate Monge-Ampère equation, Rev. Mat. Iberoamericana2 (1986), 19-27. Zbl0611.35029MR864651
8. [CNS4] L. Caffarelli, L. Nirenberg, J. Spruck, 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. Zbl0672.35027MR1112140
9. [CNS5] L. Caffarelli, L. Nirenberg, J. Spruck, Nonlinear second order equations V. The Dirichlet problem for Weingarten hypersurfaces, Comm. Pure Appl. Math.41 (1988), 47-70. Zbl0672.35028MR917124
10. [CNS6] L. Caffarelli, L. Nirenberg, J. Spruck, On a form of Bernstein's Theorem, Analyse Math. et. Appl. (1988), 55-66, Gauthier-Villars, Paris. Zbl0668.35028MR956953
11. [E] L.C. Evans, Classical solutions of fully nonlinear convex second order elliptic equations, Comm. Pure Appl. Math.35 (1982), 333-363. Zbl0469.35022MR649348
12. [GT] D. Gilbarg, N.S. Trudinger, "Elliptic Partial Differential Equations of Second Order," Springer-Verlag, Berlin, 2nd ed'n., 1983. Zbl0562.35001MR737190
13. [I] N.M. Ivochkina, Solution of the Dirichlet problem for the equation of curvature of order m, Dokl Akad. Nauk. CCCP299 (1988), 35-38; Soviet Math. Dokl.37 (1988) 322-325. Zbl0699.35096MR936908
14. [K] N.V. Krylov, Nonlinear elliptic and parabolic equations of second order, " Nauka" Moscow (1985), Engl. transl'n., Reidel (1987). Zbl0586.35002MR815513
15. [KS] N.V. Krylov, M.V. Safonov, Certain properties of solutions of parabolic equations with measurable coefficients, Izv. Akad. Nauk. SSSR40 (1980), 161-175; Engl. transl'n. Math. USSR-Izv.16 (1981) 151-164. Zbl0464.35035MR563790
16. [L] Li, Yanyan, Some existence results for fully nonlinear elliptic equations of Monge-Ampère type, Comm. Pure Appl. Math., to appear. Zbl0705.35038MR1038143
17. [N] L. Nirenberg, Fully nonlinear elliptic equations, Proc. Symposium in Pure Math. AMS Vol. 48 (1988), 217-225. Zbl0685.35045MR974337
18. [T1] N.S. Trudinger, A priori bound for graphs with prescribed curvature, preprint. Zbl0714.53008MR1039367
19. [T1] N.S. Trudinger, The Dirichlet problem for the prescribed curvature equations, in preparation. Zbl0721.35018
20. [U] J. Urbas, Regularity of generalized solutions of Monge-Ampère equation, preprint. Zbl0617.35017MR926846