On monotonicity of some functionals under rearrangements
Optimization and Control
2014-02-14 v1
Abstract
We consider the Polya--Szeg\"o type weighted inequality. We prove this inequality for monotone rearrangement and for Steiner's symmetrization.
Keywords
Cite
@article{arxiv.1402.3006,
title = {On monotonicity of some functionals under rearrangements},
author = {S. V. Bankevich and A. I. Nazarov},
journal= {arXiv preprint arXiv:1402.3006},
year = {2014}
}
Comments
22 pages. Russian version of this preprint is published in November 2013 and available at http://www.mathsoc.spb.ru/preprint/2013/index.html