AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Mathematics in Engineering Article
PDF (403.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
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
Show Author Information

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

References

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

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
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

14

Views

1

Downloads

6

Crossref

5

Web of Science

7

Scopus
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)