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arXiv · 1401.2780

Equivalence between Poly\'a-Szeg\H{o} and relative capacity inequalities under rearrangement

Jean Van Schaftingen
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Abstract

The transformations of functions acting on sublevel sets that satisfy a P\'olya-Szeg\H{o} inequality are characterized as those being induced by transformations of sets that do not increase the associated capacity.

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Jean Van Schaftingen. 2014-01-13. Equivalence between Poly\'a-Szeg\H{o} and relative capacity inequalities under rearrangement. https://doi.org/10.1007/s00013-014-0695-4

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