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arXiv · 2201.02482

Hardy inequalities for magnetic $p$-Laplacians

Cristian Cazacu·David Krejcirik·Nguyen Lam·Ari Laptev
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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.

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Cristian Cazacu, David Krejcirik, Nguyen Lam, Ari Laptev. 2022-01-07. Hardy inequalities for magnetic $p$-Laplacians. https://arxiv.org/abs/2201.02482

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