Abstract
In this paper, we establish the interior gradient estimate of k-admissible solutions of prescribed Hessian quotient curvature equations \(\frac{\sigma _k (a_{ij})}{\sigma _l (a_{ij})} = f(x)\) with \(0 \le l < k \le n\). As an application, we get a Liouville type theorem.
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17 August 2021
An Erratum to this paper has been published: https://doi.org/10.1007/s00229-021-01335-1
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Research of the first author was supported by NSFC No. 11301497, and research of the second author was supported by NSFC No. 11371360.
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Chen, C., Xu, L. & Zhang, D. The interior gradient estimate of prescribed Hessian quotient curvature equations. manuscripta math. 153, 159–171 (2017). https://doi.org/10.1007/s00229-016-0877-4
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DOI: https://doi.org/10.1007/s00229-016-0877-4