A multiphase eigenvalue problem on a stratified Lie group

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2024

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Abstract

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. � The Author(s) 2024.

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(2,q)-eigenvalue problem; Heisenberg group; Left invariant vector field; Multiphase spectral problem; Stratified Lie group

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