2 papers
math.DG2026
Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional
Hongbin Cui, Jiahuan Li, Xiaowei Xu
We say that a hypersurface is -stationary if it is a critical point of the Euler-Dierkes-Huisken functional $\mathcal{E}_α(Σ)=\int_Σ|X|^α\, d\mathcal{…
math.AP2026
Brunn--Minkowski Inequality for the First Complex -Hessian Eigenvalue
Chuanqiang Chen, Jiahuan Li, Xi-Nan Ma
There are relatively few results on the convexity of solutions to complex equations. In this paper, We prove a strict real log-concavity theorem for the first eigenfunction of the…