A multiphase eigenvalue problem on a stratified Lie group
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929592172806144 |
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| author | Choudhuri, Debajyoti Tavares, Leandro S. Repovš, Dušan D. |
| author_facet | Choudhuri, Debajyoti Tavares, Leandro S. Repovš, Dušan D. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14308 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A multiphase eigenvalue problem on a stratified Lie group Choudhuri, Debajyoti Tavares, Leandro S. Repovš, Dušan D. Analysis of PDEs 35J35, 35J60 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. |
| title | A multiphase eigenvalue problem on a stratified Lie group |
| topic | Analysis of PDEs 35J35, 35J60 |
| url | https://arxiv.org/abs/2405.14308 |