[1] Harvey R, Lawson H B. Calibrated geometries. Acta Math, 1982, 148(1): 47--157
[2] Caffarelli L, Nirenberg L, Spruck J. The Dirichlet problem for nonlinear second-order elliptic equations III: Functions of the eigenvalues of the Hessian. Acta Math, 1985, 155(3/4): 261--301
[3] Trudinger N S. On the Dirichlet problem for Hessian equations. Acta Math, 1995, 175(2): 151--164
[4] Bao J G, Chen J Y, Guan B, etal. Liouville property and regularity of a Hessian quotient equation. Amer J Math, 2003, 125(2): 301--316
[5] Liu S M, Bao J G. The local regularity for strong solutions of the Hessian quotient equation. J Math Anal Appl, 2005, 303(2): 462--476
[6] Caffarelli L, Li Y Y. An extension to a theorem of J\"{o}rgens, Calabi, and Pogorelov. Comm Pure Appl Math, 2003, 56(5): 549--583
[7] Dai L M. Existence of solutions with asymptotic behavior of exterior problems of Hessian equations. Proc Amer Math Soc, 2011, 139(8): 2853--2861
[8] Li A B, Li Y Y. On some conformally invariant fully nonlinear equations II: Liouville, Harnack and Yamabe. Acta Math 2005, 195: 117--154
[9] Chou K S, Wang X J. Entire solutions of the Monge-Ampère equation. Comm Pure Appl Math, 1996, 49(5): 529--539
[10] Crandall M G, Ishii H, Lions P L. User's guide to viscosity solutions of second order partial differential equations. Bull Amer Math Soc, 1992, 27(1): 1--67
[11] Ishii H. On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs. Comm Pure Appl Math, 1989, 42(1): 15--45 |