Inequalities associated with magnetic fields

DOI10.1016/j.cam.2004.01.009zbMath1067.26011OpenAlexW2065744727MaRDI QIDQ596228

W. Desmond Evans, Christer Bennewitz

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.009

zbMATH Keywords

magnetic fieldsSobolev inequalitysharp constantsextremalsHardy inequalityinequalities of Laptev/Weidl

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Motion of charged particles (78A35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Weighted spectral gap for magnetic Schrödinger operators with a potential term ⋮ On the Rellich inequality with magnetic potentials

Cites Work

• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• On the number of negative eigenvalues of Schrödinger operators with an Aharonov–Bohm magnetic field
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