Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds

被引:73
作者
Viaclovsky, JA [1 ]
机构
[1] MIT, Dept Math, Cambridge, MA 02139 USA
关键词
D O I
10.4310/CAG.2002.v10.n4.a6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:815 / 846
页数:32
相关论文
共 14 条
[1]   THE DIRICHLET PROBLEM FOR NONLINEAR 2ND-ORDER ELLIPTIC-EQUATIONS .3. FUNCTIONS OF THE EIGENVALUES OF THE HESSIAN [J].
CAFFARELLI, L ;
NIRENBERG, L ;
SPRUCK, J .
ACTA MATHEMATICA, 1985, 155 (3-4) :261-301
[2]   MONGE-AMPERE TYPE EQUATIONS ON COMPACT RIEMANNIAN-MANIFOLDS .2. [J].
DELANOE, P .
JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 41 (03) :341-353
[3]  
EVANS LC, 1982, COMMUN PUR APPL MATH, V35, P333
[4]  
GARDING L, 1959, J MATH MECH, V8, P957
[5]  
Krylov N.V., 1983, IZV AKAD NAUK SSSR M, V47, P75
[6]   THE YAMABE PROBLEM [J].
LEE, JM ;
PARKER, TH .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 17 (01) :37-91
[9]  
Reilly R., 1973, MICH MATH J, V20, P373
[10]  
Schoen R., 1991, DIFFERENTIAL GEOMETR, P311