Carlson's type theorem on removable sets for -Holder continuous solutions is investigated for the quasilinear elliptic equations having degeneration in the Muckenhoupt class. In partial, when is sufficiently small and the operator is weighted -Laplacian, we show that the compact set is removable if and only if the Hausdorff measure .
"On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations." Int. J. Differ. Equ. 2011 1 - 23, 2011. https://doi.org/10.1155/2011/198606