Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918157191479296 |
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| author | Abid, Djamel |
| author_facet | Abid, Djamel |
| contents | This paper is dedicated to studying the existence of nontrivial positive solutions for a Kirchhoff-type problem with sign change nonlinearities and a singular term, Using the Nehari manifold and EkelandS variational principle we prove that for the appropriate choice of λ our problem has at least two positive solutions for both subcritical and critical cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07911 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold Abid, Djamel Analysis of PDEs 35J35, 35P30, 35J60 This paper is dedicated to studying the existence of nontrivial positive solutions for a Kirchhoff-type problem with sign change nonlinearities and a singular term, Using the Nehari manifold and EkelandS variational principle we prove that for the appropriate choice of λ our problem has at least two positive solutions for both subcritical and critical cases. |
| title | Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold |
| topic | Analysis of PDEs 35J35, 35P30, 35J60 |
| url | https://arxiv.org/abs/2510.07911 |