SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS

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	SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS
	Guan, Bo ; Guan B(关波)
刊名	http://dx.doi.org/10.1215/00127094-2713591
	2014-06-01
关键词	CONSTANT GAUSS CURVATURE MONGE-AMPERE EQUATIONS BOUNDARY-VALUE-PROBLEMS DIRICHLET PROBLEM HESSIAN EQUATIONS CONVEX HYPERSURFACES HYPERBOLIC SPACE EXISTENCE SURFACES
英文摘要	National Science Foundation [DMS-1313218]; We derive a priori second-order estimates for solutions of a class of fully nonlinear elliptic equations on Riemannian manifolds under structure conditions which are close to optimal. We treat both equations on closed manifolds and the Dirichlet problem on manifolds with boundary without any geometric restrictions to the boundary. These estimates yield regularity and existence results, some of which are new even for equations in Euclidean space.
语种	英语
出版者	DUKE UNIV PRESS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91336]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Guan, Bo,Guan B. SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS[J]. http://dx.doi.org/10.1215/00127094-2713591,2014.
APA	Guan, Bo,&关波.(2014).SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS.http://dx.doi.org/10.1215/00127094-2713591.
MLA	Guan, Bo,et al."SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS".http://dx.doi.org/10.1215/00127094-2713591 (2014).