3 papers
math.FA2021
The Petty projection inequality for sets of finite perimeter
Youjiang Lin
The Petty projection inequality for sets of finite perimeter is proved. Our approach is based on Steiner symmetrization. Neither the affine Sobolev inequality nor the functional Mi…
math.MG2020
Affine Orlicz Pólya-Szegö principles and their equality cases
Youjiang Lin, Dongmeng Xi
The conjecture about the Orlicz Pólya-Szegö principle posed in [43] is proved. The cases of equality are characterized in the affine Orlicz Pólya-Szegö principle with respect to St…
math.FA2017
An affine Orlicz Polya-Szego principle
Youjiang Lin
The author established the affine Orlicz Polya-Szego principle for log-concave functions and conjectured that the principle can be extended to the general Orlicz Sobolev functions.…