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Bibliographische Detailangaben
Hauptverfasser: Cazacu, Cristian, Krejcirik, David, Lam, Nguyen, Laptev, Ari
Format: Preprint
Veröffentlicht: 2022
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2201.02482
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Inhaltsangabe:
  • 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.