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 (335.2 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

A weighted gradient estimate for solutions of L p Christoffel-Minkowski problem

Department of Mathematics and Statistics, McGill University, Montreal, H3A 0B9, Canada
Show Author Information

Abstract

We extend the weighted gradient estimate for solutions of nonlinear PDE associated to the prescribed k-th L p -area measure problem to the case 0 < p < 1. The estimate yields non-collapsing estimate for symmetric convex bodied with prescribed L p -area measures.

Keywords

area measuresChristoffel-Minkowski problemConstant Rank Theorem

References

【1】
【1】
 
 
Crossref Google Scholar
Mathematics in Engineering
Volume 5 Issue 3,
June 2023
Pages 1-14
DOI: 10.3934/mine.2023067

{{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:
Guan P. A weighted gradient estimate for solutions of L p Christoffel-Minkowski problem. Mathematics in Engineering, 2023, 5(3): 1-14. https://doi.org/10.3934/mine.2023067

8

Views

1

Downloads

0

Crossref

5

Web of Science

4

Scopus
Received: 12 March 2022
Revised: 27 October 2022
Accepted: 20 November 2022
Published: 15 June 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)