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Estimates for modified $\sigma_{2}$ curvature equation on compact manifolds with boundary

Differential Geometry 2024-05-24 v1 Analysis of PDEs

Abstract

We establish the global C2C^2-estimates for the modified σ2\sigma_2 curvature equation with prescribed boundary mean curvature, and particularly, the local boundary C2C^2 estimates on three-manifolds.

Keywords

Cite

@article{arxiv.2405.13134,
  title  = {Estimates for modified $\sigma_{2}$ curvature equation on compact manifolds with boundary},
  author = {Xuezhang Chen and Wei Wei},
  journal= {arXiv preprint arXiv:2405.13134},
  year   = {2024}
}

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