Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904609 | Advances in Mathematics | 2018 | 19 Pages |
Abstract
We prove some Pólya-Szegö type inequalities which involve couples of functions and their rearrangements. Our inequalities reduce to the classical Pólya-Szegö principle when the two functions coincide. As an application, we give a different proof of a comparison result for solutions to Dirichlet boundary value problems for Laplacian equations proved in [1].
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
F. Brock, F. Chiacchio, A. Ferone, A. Mercaldo,