A multiphase eigenvalue problem on a stratified Lie group

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.

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2024, Vol.73 (7), p.2533-2546
Main Authors: Choudhuri, Debajyoti, Tavares, Leandro S., Repovš, Dušan D.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Eigenvalues
Eigenvectors
Geometry
Lie groups
Mathematics
Mathematics and Statistics
Multiphase
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Description
Summary: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.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-01035-1