[Authors]
 S. V. Bankevich, A. I. Nazarov

[Title]
 On the Polya-Szeg\"o inequality generalization for one-dimensional functionals

[AMS Subj-class]
 49K05 Free problems in one independent variable
 49N99 Calculus of variations and optimal control; optimization

[Keywords]
 rearrangements, Lavrentiev's phenomenon

[Abstract]
 We consider the Polya-Szeg\"o type weighted inequality. We prove this
 inequality for monotone rearrangement and for Steiner's symmetrization.

[Comments]
 Russian, 6 pp.

[Contact e-mail]
 al.il.nazarov@gmail.com