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L2-estimates on p-convex Riemannian manifolds

Qingchun Ji Fudan University Xusheng Liu Fudan University Guangsheng Yu Fudan University

Differential Geometry mathscidoc:1810.08001

Distinguished Paper Award in 2018

Advances in Mathematics, 253, 234-280, 2014.3
In this paper, we establish various L 2 -estimates for the exterior differential operator on p-convex Riemannian manifolds in the sense of Harvey and Lawson. As applications, we establish a Carleman type estimate which is uniform with respect to both weight functions and domains, and we also obtain topological restrictions for a Riemannian manifold to be p-convex.
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@inproceedings{qingchun2014l2-estimates,
  title={L2-estimates on p-convex Riemannian manifolds},
  author={Qingchun Ji, Xusheng Liu, and Guangsheng Yu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20181029190628654197166},
  booktitle={Advances in Mathematics},
  volume={253},
  pages={234-280},
  year={2014},
}
Qingchun Ji, Xusheng Liu, and Guangsheng Yu. L2-estimates on p-convex Riemannian manifolds. 2014. Vol. 253. In Advances in Mathematics. pp.234-280. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20181029190628654197166.
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