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arXiv · 2405.14308

A multiphase eigenvalue problem on a stratified Lie group

Debajyoti Choudhuri·Leandro S. Tavares·Dušan D. Repovš
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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.

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Debajyoti Choudhuri, Leandro S. Tavares, Dušan D. Repovš. 2024-05-23. A multiphase eigenvalue problem on a stratified Lie group. https://doi.org/10.1007/s12215-024-01035-1

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