Hardy inequalities for magnetic p-Laplacians ...
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 r...
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| Format: | Article in Journal/Newspaper |
| Language: | unknown |
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CIRM
2024
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| Online Access: | https://dx.doi.org/10.24350/cirm.v.20188003 https://library.cirm-math.fr/Record.htm?record=19392799124911109719 |
| Summary: | 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. This is based on a joint work with D. Krejčiřík N. Lam and A. Laptev. ... |
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