2 papers
math.AP2026
Extremizers for a trilinear Stein-Weiss inequality with nonnegative weights
Chengcheng Wu, Ziyu Gan, Yongliang Zhou
We study extremizers for a trilinear Stein-Weiss inequality on . Within the known boundedness region, we prove attainment under two additional assumptions: all six we…
math.AP2025
Locally uniform ellipticity of the fractional Hessian operators
Ziyu Gan, Heming Jiao
In [1], Caffarelli-Charro introduced a fractional Monge-Ampère operator. Later, Wu [17] generalized it to a fractional analogue of -Hessian operators and proved the strict elli…