Hardy inequalities for magnetic $p$-Laplacians
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910812364341248 |
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| author | Cazacu, Cristian Krejcirik, David Lam, Nguyen Laptev, Ari |
| author_facet | Cazacu, Cristian Krejcirik, David Lam, Nguyen Laptev, Ari |
| contents | We establish improved Hardy inequalities for the magnetic $p$-Laplacian due to adding nontrivial magnetic fields. We also prove that for Aharonov-Bohm magnetic fields the sharp constant in the Hardy inequality becomes strictly larger than in the case of a magnetic-free $p$-Laplacian. We also post some remarks with open problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_02482 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hardy inequalities for magnetic $p$-Laplacians Cazacu, Cristian Krejcirik, David Lam, Nguyen Laptev, Ari Analysis of PDEs Mathematical Physics Spectral Theory We establish improved Hardy inequalities for the magnetic $p$-Laplacian due to adding nontrivial magnetic fields. We also prove that for Aharonov-Bohm magnetic fields the sharp constant in the Hardy inequality becomes strictly larger than in the case of a magnetic-free $p$-Laplacian. We also post some remarks with open problems. |
| title | Hardy inequalities for magnetic $p$-Laplacians |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2201.02482 |