Local estimates for elliptic equations arising in conformal geometry

Yan He; Weimin Sheng

doi:10.1093/imrn/rnr262

Local estimates for elliptic equations arising in conformal geometry

Yan He, Weimin Sheng^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we consider a Yamabe-type problem for higher-order curvatures on manifolds with totally geodesic boundaries. We prove local gradient and second-derivative estimates for solutions to the fully nonlinear elliptic equations associated with the problems.

Original language	English
Pages (from-to)	258-290
Number of pages	33
Journal	International Mathematics Research Notices
Volume	2013
Issue number	2
DOIs	https://doi.org/10.1093/imrn/rnr262
Publication status	Published - 1 Jan 2013

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title = "Local estimates for elliptic equations arising in conformal geometry",

abstract = "In this paper, we consider a Yamabe-type problem for higher-order curvatures on manifolds with totally geodesic boundaries. We prove local gradient and second-derivative estimates for solutions to the fully nonlinear elliptic equations associated with the problems.",

author = "Yan He and Weimin Sheng",

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Local estimates for elliptic equations arising in conformal geometry

Abstract

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