Singular $p$-biharmonic problem with the Hardy potential
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909245405921280 |
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| author | Drissi, A. Ghanmi, A. Repovš, D. D. |
| author_facet | Drissi, A. Ghanmi, A. Repovš, D. D. |
| contents | The aim of this paper is to study existence results for a singular problem involving the $p$-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given, to illustrate the importance of these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular $p$-biharmonic problem with the Hardy potential Drissi, A. Ghanmi, A. Repovš, D. D. Analysis of PDEs Optimization and Control Primary 31B30, Secondary 35J35, 49J35 The aim of this paper is to study existence results for a singular problem involving the $p$-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given, to illustrate the importance of these results. |
| title | Singular $p$-biharmonic problem with the Hardy potential |
| topic | Analysis of PDEs Optimization and Control Primary 31B30, Secondary 35J35, 49J35 |
| url | https://arxiv.org/abs/2406.18982 |