A multiphase eigenvalue problem on a stratified Lie group

Choudhuri, Debajyoti (author), Tavares, Leandro S. (author), Repovš, Dušan (author)

We consider a multiphase spectral problem on a stratified Lie group. We prove the existence of an eigenfunction of $(2, q)$-eigenvalue problem on a bounded domain. Furthermore, we also establish a Pohozaev-like identity corresponding to the problem on the Heisenberg group.

• Language: English
• Keywords: multiphase spectral problem, stratified Lie group, Heisenberg group, left invariant vector field, (2, q)-eigenvalue problem
• 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
• Year: 2024
• Number of pages: Str. 2533-2546
• Numbering: Ser. 2, vol. 73, iss. 7
• PID: 20.500.12556/RUL-164898
• UDC: 517.9
• ISSN on article: 0009-725X
• DOI: 10.1007/s12215-024-01035-1
• COBISS.SI-ID: 195977219
• Publication date in RUL: 15.11.2024

Record is a part of a journal

• Title: Rendiconti del Circolo Matematico di Palermo
• Shortened title: Rend. Circ. Mat. Palermo
• Publisher: Springer Nature, Circolo Matematico di Palermo
• ISSN: 0009-725X
• COBISS.SI-ID: 29690112

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.