3 papers
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.AP2026
Non-radial solutions for the quasi-linear Hénon type -Laplacian Liouville equation
Wei Dai, Lixiu Duan, Changfeng Gui +1
In this paper, we investigate the following quasi-linear weighted -Laplacian Liouville equation \begin{equation*}\label{0} -Δ_N u=|x|^{Nα}e^{u}, \qquad x\in \R^N, \end{equation*…
math.AP2026
Critical quasi-linear Schrödinger system with -Laplacian
Neng cheng, Wei Dai, Zhao Liu
In this paper, we mainly consider positive solution to the -critical quasi-linear Schrödinger system with -Laplacian: \begin{equation*}\begin{cases} -Δ_p u = u^…