Removable Singularities for Anisotropic Elliptic Equations

Abstract

We study a class of quasi-linear elliptic equations with model representative $\sum _{i=1}^{n}(|u_{x_{i}}|^{p_{i}-2}u_{x_{i}})_{x_{i}}=0$ , which solutions have singularities on a smooth manifold. We establish the condition for removability of singularity on a manifold for solutions of such equations.