5 papers
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…
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} -Î_N u=|x|^{Nα}e^{u}, \qquad x\in \R^N, \end{equatio…
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} -Î_p u =…
Liouville theorems for -Laplacian equations in convex cones without finite-energy condition
Lu Chen, Wei Dai, Changfeng Gui +1
We study the anisotropic Finsler -Laplacian equation \begin{equation*} \left\{ \begin{aligned} &-Î^{H}_{p}u=f(u) \quad\,\,\, &{\rm{in}} \,\, \mathcal{C}, &{\bf{a}}(\nabla u)\cd…
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…