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 AIMS Mathematics Article
PDF (258.7 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

Extremals for a weighted Morrey's inequality and a weighted p-Laplace equation

School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, Shaanxi, China
Show Author Information

Abstract

We establish a weighted Morrey's inequality. Furthermore, the existence of extremals for this weighted Morrey's inequality is studied. As an application, we prove that extremals are the weak solutions of a related weighted p-Laplace equation.

Keywords

weighted Morrey's inequalityextremal functionsp-Laplace operator
CLC number: 35A15, 35A23

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 3930-3944
DOI: 10.3934/math.2025183

{{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:
Ni Y. Extremals for a weighted Morrey's inequality and a weighted p-Laplace equation. AIMS Mathematics, 2025, 10(2): 3930-3944. https://doi.org/10.3934/math.2025183

182

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 11 November 2024
Revised: 17 February 2025
Accepted: 18 February 2025
Published: 15 February 2025
©2025 the Author(s), licensee AIMS Press.

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