On nonlinear biharmonic problems on the Heisenberg group

Zuo, Jiabin (author), Taarabti, Said (author), An, Tianqing (author), Repovš, Dušan (author)

We investigate the boundary value problem for biharmonic operators on the Heisenberg group. The inherent features of $\mathbb{H}^n$ make it an appropriate environment for studying symmetry rules and the interaction of analysis and geometry with manifolds. The goal of this paper is to prove that a weak solution for a biharmonic operator on the Heisenberg group exists. Our key tools are a version of the Mountain Pass Theorem and the classical variational theory. This paper will be of interest to researchers who are working on biharmonic operators on $\mathbb{H}^n$.

• Language: English
• Keywords: Heisenberg group $\mathbb{H}^n$, bi-Kohn Laplacian, Mountain Pass Theorem, variational theory
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Submitted for review: 28.02.2022
• Article acceptance date: 25.03.2022
• Publication date: 31.03.2022
• Year: 2022
• Number of pages: 10 str.
• Numbering: Vol. 14, iss. 4
• PID: 20.500.12556/RUL-136024
• UDC: 517.951.6
• ISSN on article: 2073-8994
• DOI: 10.3390/sym14040705
• COBISS.SI-ID: 103836675
• Publication date in RUL: 07.04.2022

ZUO, Jiabin, TAARABTI, Said, AN, Tianqing and REPOVŠ, Dušan, 2022, On nonlinear biharmonic problems on the Heisenberg group. Symmetry [online]. 2022. Vol. 14, no. 4. [Accessed 11 April 2025]. DOI 10.3390/sym14040705. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=136024

Record is a part of a journal

• Title: Symmetry
• Shortened title: Symmetry
• Publisher: Molecular Diversity Preservation International
• ISSN: 2073-8994
• COBISS.SI-ID: 517592345

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 31.03.2022