Flux-Hardy Inequalities with Optimal Constants via Divergence and Rearrangements

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dc.contributor.authorAnise M. A.∗, Soleye S. L. and Rauf K.
dc.date.accessioned2026-05-14T10:28:30Z
dc.date.available2026-05-14T10:28:30Z
dc.date.issued2024
dc.description.abstractWe develop sharp Hardy-type inequalities for boundary flux functionals generated by dilations of a fixed smooth set in R^n. The method combines the divergence theorem with rearrangement bounds to reduce flux estimates to one-dimensional Hardy averages. Directional, divergence-form, and multi-flux inequalities are obtained in arbitrary dimension with the optimal constant and sharpness is shown by explicit near-extremizing constructions.
dc.description.sponsorshipself
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/7122
dc.publisherUnilorin Press
dc.titleFlux-Hardy Inequalities with Optimal Constants via Divergence and Rearrangements
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