4 papers · 1 filter
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…
Quantization of blow-up masses for the Finsler -Liouville equation
Xia Huang, Yuan Li, Dong Ye +1
The quantization results for blow-up phenomena play crucial roles in the analysis of partial differential equations. Here we quantify the blow-up masses to the following Finsler $N…
Non-radial solutions for the critical quasi-linear Hénon equation involving -Laplacian in
Wei Dai, Lixiu Duan, Changfeng Gui +1
In this paper, we investigate the following -critical quasi-linear Hénon equation involving -Laplacian \begin{equation*}\label{00} \left\{ \begin{aligned} &-Î_p u=|x|…
Symmetry of positive solutions to biharmonic Lane-Emden equation with singular set
Xia Huang, Yuan Li, Xianmei Zhou
In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane-Emden equation \begin{equation*} Î^{2} u=u^{p} \quad \qua…