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 Electronic Research Archive Article
PDF (494.3 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

Entire positive k-convex solutions to k-Hessian type equations and systems

Shuangshuang Bai1, Xuemei Zhang1( ), Meiqiang Feng2
School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, China
Show Author Information

Abstract

In this paper, we study the existence of entire positive solutions for the k-Hessian type equation

Sk(D2u+αI)=p(|x|)fk(u),x∈Rn

and system

{Sk(D2u+αI)=p(|x|)fk(v),x∈Rn,Sk(D2v+αI)=q(|x|)gk(u),x∈Rn,

where D2u is the Hessian of u and I denotes unit matrix. The arguments are based upon a new monotone iteration scheme.

Keywords

k-Hessian type equation and systementire positive k-convex solutionmonotone iterativeexistence

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 30 Issue 2,
February 2022
Pages 481-491
DOI: 10.3934/era.2022025

{{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:
Bai S, Zhang X, Feng M. Entire positive k-convex solutions to k-Hessian type equations and systems. Electronic Research Archive, 2022, 30(2): 481-491. https://doi.org/10.3934/era.2022025

202

Views

9

Downloads

4

Crossref

4

Web of Science

4

Scopus
Received: 15 December 2021
Revised: 14 January 2022
Accepted: 21 January 2022
Published: 15 February 2022
©2022 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)