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On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations

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  • Farman I. Mamedov
  • Aslan D. Quliyev
  • Mirfaig M. Mirheydarli

Abstract

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 .

Suggested Citation

  • Farman I. Mamedov & Aslan D. Quliyev & Mirfaig M. Mirheydarli, 2011. "On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-23, November.
    • Handle: RePEc:hin:jnijde:198606
    DOI: 10.1155/2011/198606
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