2 papers
math.FA2025
Approximation of rearrangements by polarizations
Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi +1
The symmetric decreasing rearrangement of functions on features in several seminal inequalities, such as the Pólya-Szegő inequality. The latter was shown by the auth…
math.FA2024
Anisotropic symmetrization, convex bodies, and isoperimetric inequalities
Gabriele Bianchi, Andrea Cianchi, Paolo Gronchi
This work is concerned with a Pólya-Szegö type inequality for anisotropic functionals of Sobolev functions. The relevant inequality entails a double-symmetrization involving both…