[1] Bao J G. On the regularity of the solution of the elliptic Monge-Amp\`{e}re equation degenerate near the boundary. Adv Math (China), 2001, 30: 549--556
[2] Caffarelli L, Kohn J, Nirenberg L, Spruck J. The Dirichlet problem for nonlinear second order elliptic equations, II: Complex Monge-Amp\`{e}re equation and uniformly elliptic equations. Comm Pure Appl Math, 1985, 38: 209--252
[3] Caffarelli L, Nirenberg L, Spruck J. The Dirichlet problem for nonlinear second order elliptic equations, I: Monge-Ampére equation.
Comm Pure Appl Math, 1984, 37: 369--402
[4] Guan P. C2 a prior estimates for degenerate Monge-Ampére equations. Duke Math J, 1997, 86: 323--346
[5] Gilbarg D, Trudinger N S. Elliptic Partial Differential Equations of Second Order (2nd edition). Berlin, New York: Springer-Verlag, 1983
[6] Guan P, Trudinger N S, Wang X J. On the Dirichlet problem for degenerate Monge-Ampére equations. Acta Math, 1999, 182: 87--104
[7] Trudinger N S, Urbas J. The Dirichlet problem for equation of prescribed Gauss curvature. Australian Math Soc, 1983, 28: 217--231
[8] Trudinger N S, Urbas J. On second derivative estimates for equations of Monge-Ampére type. Australian Math Soc, 1984, 30: 321--334
[9] Wang X J. Some counterexamples to the regularity of Monge-Ampére equations. Proc Amer Math Soc, 1995, 123: 841--845
[10] Wang X J. Regularity for Monge-Ampére equations near the boundary. Analysis, 1996, 16: 101--107 |