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Research Article | Open Access

Interior curvature bounds for a type of mixed Hessian quotient equations

Weimin Sheng( ), Shucan Xia
School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
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Abstract

We derive interior curvature bounds for admissible solutions of a class of mixed Hessian curvature equations subject to affine Dirichlet data. As an application, we study a Plateau type problem for locally convex Weingarten hypersurfaces.

Keywords

prescribed curvature problemsmixed Hessian quotient equationscurvature estimates

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Mathematics in Engineering
Volume 5 Issue 2,
April 2023
Pages 1-27
DOI: 10.3934/mine.2023040

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Cite this article:
Sheng W, Xia S. Interior curvature bounds for a type of mixed Hessian quotient equations. Mathematics in Engineering, 2023, 5(2): 1-27. https://doi.org/10.3934/mine.2023040

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Received: 03 April 2022
Revised: 26 May 2022
Accepted: 26 May 2022
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)