3 citations · 4 across the 8 of their papers we have counts for
8 papers
Fixed Point Rigidity of the Operator and the LYZ Conjecture
Youjiang Lin, Sudan Xing
We characterize the fixed points of the operator for and . More precisely, we prove that a convex body satisfies \[Γ_pΠ_p^\ast K…
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…
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…
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.…
Origin-Symmetric Bodies of Revolution with Minimal Mahler Volume in R^3-a new proof
Youjiang Lin, Gangsong Leng
Meyer and Reisner had proved the Mahler conjecture for rovelution bodies. In this paper, using a new method, we prove that among origin-symmetric bodies of revolution in R^3, cylin…
A new approach to Steiner symmetrization of coercive convex functions
Youjiang Lin, Gangsong Leng, Lujun Guo
In this paper, a new approach of defining Steiner symmetrization of coercive convex functions is proposed and some fundamental properties of the new Steiner symmetrization are prov…
On the functional Blaschke-Santalo inequality
Youjiang Lin, Gangsong Leng
In this paper, using functional Steiner symmetrizations, we show that Meyer and Pajor's proof of the Blaschke-Santalo inequality can be extended to the functional setting.
Convex Bodies With Minimal Volume Product in R^2 --- A New Proof
Youjiang Lin
In this paper, a new proof of the following result is given: The product of the volumes of an origin symmetric convex bodies in R^2 and of its polar body is minimal if and only…