5 citations · 7 across the 2 of their papers we have counts for
3 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★ 2 cited
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 t…
math.MG2022★ 5 cited
Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces
Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi
Two related questions are discussed. The first is when reflection symmetry in a finite set of -dimensional subspaces, , implies full rotational symmetry, i…