Conformally invariant monge-ampère equations: global solutions

Transactions of the American Mathematical Society

Volumn 352, Issue 9, 2000, Pages 4371-4379

  Viaclovsky, Jeff A ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Conformally invariant; Global solutions; Monge amp re equations

Indexed keywords

EID: 23044518718     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-00-02548-4     Document Type: Article

References (6)

1. L. Caffarelli, L. Nirenberg, and J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations. III. Functions of the eigenvalues of the Hessian, Acta Math. 155 (1985), no. 3-4, 261-301. MR 87f:35098
2. Lars Gȧrding, An inequality for hyperbolic polynomials, J. Math. Mech. 8 (1959), 957-965. MR 2:4809
3. I. M. Gelfand and S. V. Fomin, Calculus of variations, Prentice-Hall Inc., Englewood Cliffs, N.J., 1963, Revised English edition translated and edited by Richard A. Silverman. MR 28:3353
4. B. Gidas, Wei Ming Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), no. 3, 209-243. MR 80h:35043
5. J. Viaclovsky, Conformal geometry, contact geometry and the calculus of variations, Duke Math. J. 101 (2000), no. 2, 283-316.
6. Xu Jia Wang, A class of fully nonlinear elliptic equations and related functional, Indiana Univ. Math. J. 43 (1994), no. 1, 25-54. MR 95f:35089