On Carlson′s Type Removability Test for the Degenerate Quasilinear Elliptic Equations
Farman Imran Mamedov, Aslan D. Quliyev, Mirfaig M. Mirheydarli · International Journal of Differential Equations · 2011
Carlson′s type theorem on removable sets for α‐Holder continuous solutions is investigated for the quasilinear elliptic equations div A(x, u, ∇u) = 0, having degeneration ω in the Muckenhoupt class. In partial, when α is sufficiently small and the operator is weighted p‐Laplacian, we show that the compact set E is removable if and only if the Hausdorff measure .