S. L. Soleye

Flux-Hardy Inequalities with Optimal Constants via Divergence and Rearrangements

We 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 wit...