Lixiu Duan

activity

20242026

collaborators

3 papers

math.AP2026

Non-radial solutions for the quasi-linear Hénon type $N$ -Laplacian Liouville equation

Wei Dai, Lixiu Duan, Changfeng Gui +1

In this paper, we investigate the following quasi-linear weighted $N$ -Laplacian Liouville equation \begin{equation*}\label{0} -Δ_N u=|x|^{Nα}e^{u}, \qquad x\in \R^N, \end{equation*…

math.AP2025

Non-radial solutions for the critical quasi-linear Hénon equation involving $p$ -Laplacian in $R^{N}$

Wei Dai, Lixiu Duan, Changfeng Gui +1

In this paper, we investigate the following $D^{1, p}$ -critical quasi-linear Hénon equation involving $p$ -Laplacian \begin{equation*}\label{00} \left\{ \begin{aligned} &-Δ_p u=|x|^α…

math.AP2024

Classification of solutions to $3$ -D and $4$ -D mixed order conformally invariant systems with critical and exponential growth

Wei Dai, Lixiu Duan, Rong Zhang

In this paper, without any assumption on $v$ and under the extremely mild assumption $u (x) = O (∣ x ∣^{K})$ as $∣ x ∣ \to + \infty$ for some $K ≫ 1$ arbitrarily large, we classify s…

Non-radial solutions for the quasi-linear Hénon type N-Laplacian Liouville equation

Non-radial solutions for the critical quasi-linear Hénon equation involving p-Laplacian in RN

Classification of solutions to 3-D and 4-D mixed order conformally invariant systems with critical and exponential growth

Non-radial solutions for the quasi-linear Hénon type $N$ -Laplacian Liouville equation

Non-radial solutions for the critical quasi-linear Hénon equation involving $p$ -Laplacian in $R^{N}$

Classification of solutions to $3$ -D and $4$ -D mixed order conformally invariant systems with critical and exponential growth