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 (270.7 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

Existence of positive radial solutions for a problem involving the weighted Heisenberg p ( ⋅ )-Laplacian operator

Maria Alessandra Ragusa1( ), Abdolrahman Razani2, Farzaneh Safari2
Dipartimento di Matematica e Informatica, Università di Catania, Italy
Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 3414896818, Qazvin, Iran
Show Author Information

Abstract

A variational principle is applied to examine a Muckenhoupt weighted p ( ⋅ )-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition belongs to the first order Heisenberg-Sobolev spaces is proved.

Keywords

Heisenberg p(⋅)-Laplacian operatorvariational principleMuckenhoupt weight functionmountain pass geometry theorem
CLC number: 35R03, 35B65, Secondary 35J60, 35J70

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 404-422
DOI: 10.3934/math.2023019

{{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:
Ragusa MA, Razani A, Safari F. Existence of positive radial solutions for a problem involving the weighted Heisenberg p ( ⋅ )-Laplacian operator. AIMS Mathematics, 2023, 8(1): 404-422. https://doi.org/10.3934/math.2023019

4

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 01 July 2022
Revised: 16 September 2022
Accepted: 23 September 2022
Published: 15 January 2023
©2023 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)