On some conformally invariant fully nonlinear equations

[1]  YanYan Li,et al.  On some conformally invariant fully nonlinear equations, II. Liouville, Harnack and Yamabe , 2004, math/0403442.

[2]  Lei Zhang,et al.  Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations , 2003 .

[3]  Yanyan Li,et al.  Further results on Liouville type theorems for some conformally invariant fully nonlinear equations , 2003, math/0301254.

[4]  Yanyan Li,et al.  A general Liouville type theorem for some conformally invariant fully nonlinear equations , 2002, math/0301239.

[5]  Guofang Wang,et al.  Local estimates for a class of fully nonlinear equations arising from conformal geometry , 2003 .

[6]  Yanyan Li,et al.  A fully nonlinear version of the Yamabe problem and a Harnack type inequality , 2002, math/0212031.

[7]  Jeff A. Viaclovsky,et al.  Fully nonlinear equations on Riemannian manifolds with negative curvature , 2002, math/0210303.

[8]  Paul C. Yang,et al.  An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature , 2002, math/0409583.

[9]  Jeff A. Viaclovsky,et al.  Some properties of the Schouten tensor and applications to conformal geometry , 2002, math/0203138.

[10]  Paul Yang,et al.  An a priori estimate for a fully nonlinear equation on four-manifolds , 2002 .

[11]  Guofang Wang,et al.  A fully nonlinear conformal flow on locally conformally flat manifolds , 2001, math/0112256.

[12]  Jeff A. Viaclovsky.  Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds , 2001, math/0104227.

[13]  Jeff A. Viaclovsky.  Conformal geometry, contact geometry, and the calculus of variations , 2000 .

[14]  CONFORMALLY INVARIANT MONGE-AMPÈRE EQUATIONS: GLOBAL SOLUTIONS , 2000 .

[15]  N. Trudinger,et al.  Hessian measures II , 1999, math/9909199.

[16]  N. Trudinger,et al.  Hessian measures I , 1997 .

[17]  Chiun-Chuan Chen,et al.  Estimates of the conformal scalar curvature equation via the method of moving planes , 1997 .

[18]  Michel Chipot,et al.  On the solutions to some elliptic equations with nonlinear Neumann boundary conditions , 1996, Advances in Differential Equations.

[19]  Meijun Zhu,et al.  Uniqueness theorems through the method of moving spheres , 1995 .

[20]  Neil S. Trudinger,et al.  On the Dirichlet problem for Hessian equations , 1995 .

[21]  Joel Spruck,et al.  Boundary-value problems on $\mathbb{S}^n$ for surfaces of constant Gauss curvature , 1993 .

[22]  Yanyan Li.  On –δu = K(x)u5 in ℝ3 , 1993 .

[23]  J. Spruck,et al.  Boundary value problems for surfaces of constant Gauss Curvature , 1992 .

[24]  Yanyan Li.  Some existence results for fully nonlinear elliptic equations of monge‐ampère type , 1990 .

[25]  Basilis Gidas,et al.  Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth , 1989 .

[26]  Yanyan Li.  Degree theory for second order nonlinear elliptic operators and its applications , 1989 .

[27]  S. Yau,et al.  Conformally flat manifolds, Kleinian groups and scalar curvature , 1988 .

[28]  J. Spruck,et al.  The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian , 1985 .

[29]  Luis A. Caffarelli,et al.  The Dirichlet problem for nonlinear second-order elliptic equations I , 1984 .

[30]  N. Krylov,et al.  BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN , 1984 .

[31]  R. Schoen.  Conformal deformation of a Riemannian metric to constant scalar curvature , 1984 .

[32]  Lawrence C. Evans,et al.  Classical solutions of fully nonlinear, convex, second‐order elliptic equations , 1982 .

[33]  B. Gidas,et al.  Symmetry and related properties via the maximum principle , 1979 .

[34]  T. Aubin.  Equations differentielles non lineaires et probleme de Yamabe concernant la courbure scalaire , 1976 .

[35]  S. Yau,et al.  Differential equations on riemannian manifolds and their geometric applications , 1975 .

[36]  R. Reilly.  On the Hessian of a function and the curvatures of its graph. , 1974 .

[37]  M. Obata.  The conjectures on conformal transformations of Riemannian manifolds , 1971 .

[38]  Neil S. Trudinger,et al.  Remarks concerning the conformal deformation of riemannian structures on compact manifolds , 1968 .

[39]  Hidehiko Yamabe.  On a deformation of Riemannian structures on compact manifolds , 1960 .

[40]  T. Y. Thomas.  On Conformal Geometry. , 1926, Proceedings of the National Academy of Sciences of the United States of America.