Hardy inequalities for magnetic p-Laplacians | Vidéo | Carmin.tv

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Hardy inequalities for magnetic p-Laplacians

By Cristian Cazacu

Appears in collection : Mathematical aspects of the physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints

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.

Information about the video

Date of recording 04/06/2024
Date of publication 26/06/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20188003
Cite this video Cazacu, Cristian (04/06/2024). Hardy inequalities for magnetic p-Laplacians. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20188003
URL https://dx.doi.org/10.24350/CIRM.V.20188003

Domain(s)

Bibliography

CAZACU, Cristian, KREJČIŘÍK, David, LAM, Nguyen, et al. Hardy inequalities for magnetic p-Laplacians. Nonlinearity, 2024, vol. 37, no 3, p. 035004. - http://dx.doi.org/10.1088/1361-6544/ad1aee

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