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Magnetic Hardy inequalities in L^p setting

Cristian Cazacu
April 25, 2024
11:30AM - 12:30PM
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Add to Calendar 2024-04-25 11:30:00 2024-04-25 12:30:00 Magnetic Hardy inequalities in L^p setting Title:  Magnetic Hardy inequalities in L^p settingSpeaker:  Cristian Cazacu (University of Bucharest, Romania)Speaker's URL:  https://sites.google.com/site/cristianmihaicazacu/Abstract:  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.URL associated with Seminar:  https://u.osu.edu/aots/ Zoom Department of Mathematics math@osu.edu America/New_York public

Title:  Magnetic Hardy inequalities in L^p setting

Speaker:  Cristian Cazacu (University of Bucharest, Romania)

Speaker's URL:  https://sites.google.com/site/cristianmihaicazacu/

Abstract:  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.

URL associated with Seminar:  https://u.osu.edu/aots/

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