On the improvement of the Hardy inequality due to singular magnetic fields

DOI10.1080/03605302.2020.1763399zbMath1450.35011arXiv1807.04430OpenAlexW3025152662MaRDI QIDQ5124555

Luis Vega, David Krejčiřík, Luca Fanelli, A. A. Laptev

Publication date: 29 September 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04430

zbMATH Keywords

Aharonov-Bohm potentialtwo specific choices of singular magnetic fields

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (7)

Improved Hardy-Rellich inequalities ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Hardy inequalities for magnetic p-Laplacians ⋮ Improved \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with magnetic fields ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3 ⋮ Trace Hardy inequality for the Euclidean space with a cut and its applications

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