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.
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Skrypnik, I.I. Removable Singularities for Anisotropic Elliptic Equations. Potential Anal 41, 1127–1145 (2014). https://doi.org/10.1007/s11118-014-9414-9
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DOI: https://doi.org/10.1007/s11118-014-9414-9