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Curvature estimates for a class of Hessian type equations

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Abstract

In this paper, we establish the curvature estimates for a class of Hessian type equations. Some applications are also discussed.

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Acknowledgements

We thank Professor Ben Weinkove for introducing the \((n-1)\) Monge-Ampère equation and many helpful comments. The work was carried out while the second author was visiting the Department of Mathematics at Northwestern University. He wishes to thank the Department and University for their hospitality. He also would like to thank China Scholarship Council for their support. The second author is supported by the National Natural Science Foundation of China (Grant Nos. 11601105, 11871243 and 11671111).

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Authors and Affiliations

  1. Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL, 60208, USA

    Jianchun Chu

  2. School of Mathematics and Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, China

    Heming Jiao

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  1. Jianchun Chu
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  2. Heming Jiao
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Correspondence to Heming Jiao.

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Communicated by O. Savin.

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Chu, J., Jiao, H. Curvature estimates for a class of Hessian type equations. Calc. Var. 60, 90 (2021). https://doi.org/10.1007/s00526-021-01930-w

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