Singular solution to Special Lagrangian Equations
Tài liệu tham khảo
Alexandrov, 1954, Some theorems on partial differential equations of the second order, Vestnik Leningrad. Univ., 9, 3
Ball, 1977, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Ration. Mech. Anal., 63, 337, 10.1007/BF00279992
Bao, 2003, Liouville property and regularity of a Hessian quotient equation, Amer. J. Math., 125, 301, 10.1353/ajm.2003.0007
Caffarelli, 1995
Caffarelli, 1985, The Dirichlet problem for nonlinear second order elliptic equations III. Functions of the eigenvalues of the Hessian, Acta Math., 155, 261, 10.1007/BF02392544
Chen, 2009, A priori estimate for convex solutions to special Lagrangian equations and its application, Comm. Pure Appl. Math., 62, 583, 10.1002/cpa.20261
Courant, 1989
Crandall, 1992, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.), 27, 1, 10.1090/S0273-0979-1992-00266-5
Eisenbud, 1977, An algebraic formula for the degree of a C∞ map germ, Ann. Math., 106, 19, 10.2307/1971156
Harvey, 1982, Calibrated geometries, Acta Math., 148, 47, 10.1007/BF02392726
Harvey, 2009, Dirichlet duality and the nonlinear Dirichlet problem, Comm. Pure Appl. Math., 62, 396, 10.1002/cpa.20265
Krylov, 1995, On the general notion of fully nonlinear second-order elliptic equations, Trans. Amer. Math. Soc., 347, 857, 10.1090/S0002-9947-1995-1284912-8
Nadirashvili, 2007, Nonclassical solutions of fully nonlinear elliptic equations, Geom. Funct. Anal., 17, 1283, 10.1007/s00039-007-0626-7
Nadirashvili, 2008, Singular solutions to fully nonlinear elliptic equations, J. Math. Pures Appl., 89, 107, 10.1016/j.matpur.2007.10.004
Nadirashvili
Trudinger, 1988, Hölder gradient estimates for fully nonlinear elliptic equations, Proc. Roy. Soc. Edinburgh Sect. A, 108, 57, 10.1017/S0308210500026512
Trudinger, 1989, On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations, vol. 2, 939
Trudinger, 1990, The Dirichlet problem for the prescribed curvature equations, Arch. Ration. Mech. Anal., 111, 153, 10.1007/BF00375406
Yuan, 2001, A priori estimates for solutions of fully nonlinear special Lagrangian equations, Ann. Inst. H. Pioncaré Anal. Non Linéaire, 18, 261, 10.1016/S0294-1449(00)00065-2