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math.AP2026
Optimal Rigidity Results for the -Hessian Equation of Lane--Emden Type
Wei Dai, Jingze Fu, Changfeng Gui +1
In this paper, we establish optimal Liouville theorems and classification results for the \(k\)-Hessian Lane--Emden equation \[ σ_k(-D^2u)=u^p\quad\text{in }\R^n,\qquad -D^2u\in\ov…
math.AP2025
Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities
Wei Dai, Jingze Fu, An Zhang
In this paper, we proved the sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities with partial (stronger) singular weight and non-radial extremal functions. Ou…
math.AP2021
On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents
Wei Dai, Jingze Fu
In this paper, we investigate various properties (e.g., nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear tri-ha…