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Fully Nonlinear Equations of Krylov Type on Riemannian Manifolds with Totally Geodesic Boundary

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Abstract

In this paper, we study fully nonlinear equations of Krylov type in conformal geometry on compact smooth Riemannian manifolds with totally geodesic boundary. We prove the a priori estimates for solutions to these equations and establish an existence result.

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Acknowledgements

We thank the referees for their time and comments.

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  1. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan, 430000, P. R. China

    Li Chen & Yan He

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  1. Li Chen
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  2. Yan He
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Correspondence to Yan He.

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Chen, L., He, Y. Fully Nonlinear Equations of Krylov Type on Riemannian Manifolds with Totally Geodesic Boundary. Acta. Math. Sin.-English Ser. (2023). https://doi.org/10.1007/s10114-023-1620-1

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  • DOI: https://doi.org/10.1007/s10114-023-1620-1

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