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].
New Pólya-Szegő-type inequalities and an alternative approach to comparison results for PDE's / Brock, Friedemann; Chiacchio, Francesco; Ferone, Adele; Mercaldo, Anna. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 336:(2018), pp. 316-334. [10.1016/j.aim.2018.07.026]
New Pólya-Szegő-type inequalities and an alternative approach to comparison results for PDE's
Francesco Chiacchio;Anna Mercaldo
2018
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].File in questo prodotto:
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