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

Wei Wei; Xuezhang Chen

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

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arxiv 2405.13134 v1 pith:2J3OE3QJ submitted 2024-05-21 math.DG math.AP

Xuezhang Chen , Wei Wei This is my paper · ORCID

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keywords boundarycurvatureestimatesequationmodifiedsigmacompactestablish

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abstract

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

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