Geodesic
On monotonicity of some functionals under monotone rearrangement with respect to one variable
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 45, Tome 444 (2016), pp. 5-14 
S. V. Bankevich. On monotonicity of some functionals under monotone rearrangement with respect to one variable. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 45, Tome 444 (2016), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_2016_444_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We consider the Pólya–Szegö inequality for monotone rearrangement with integrand dependent on the rearrangement variable. The inequality is proved for integrands having polynomial growth.

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