Removable Singularities for Anisotropic Elliptic Equations

We study a class of quasi-linear elliptic equations with model representative ∑i=1n(|uxi|pi−2uxi)xi=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\sum _{i=1}^{n}(|u_{x_{i}}|^{p_{i}-2}u_{x_{i}})_{x_{i}}=0$\end{document}, which solutions have singularities on a smooth manifold. We establish the condition for removability of singularity on a manifold for solutions of such equations.