A Laplacian System With Sign-Changing Weight Function
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912730654441472 |
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| author | Kazemipoor, Seyyed Sadegh Ebrahimi, Hadiseh |
| author_facet | Kazemipoor, Seyyed Sadegh Ebrahimi, Hadiseh |
| contents | We prove the existence of at least one positive solution for the Laplacian system\\ -Δv=λa(x)|v|^{q-2}v+β\fracβ{α+β}b(x)|u|^α|v|^{β-2}v&$for~$x\inΩ$$ $$ \end{array}\right.$$ On a bounded region $Ω$ by using the Nehari manifold and the fibering maps associated with the Euler functional for the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21447 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Laplacian System With Sign-Changing Weight Function Kazemipoor, Seyyed Sadegh Ebrahimi, Hadiseh Analysis of PDEs 35D30, 35j50, 35J20 We prove the existence of at least one positive solution for the Laplacian system\\ -Δv=λa(x)|v|^{q-2}v+β\fracβ{α+β}b(x)|u|^α|v|^{β-2}v&$for~$x\inΩ$$ $$ \end{array}\right.$$ On a bounded region $Ω$ by using the Nehari manifold and the fibering maps associated with the Euler functional for the system. |
| title | A Laplacian System With Sign-Changing Weight Function |
| topic | Analysis of PDEs 35D30, 35j50, 35J20 |
| url | https://arxiv.org/abs/2511.21447 |