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

Farman I. Mamedov, Aslan D. Quliyev and Mirfaig M. Mirheydarli

International Journal of Differential Equations, 2011, vol. 2011, 1-23

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 .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:198606

DOI: 10.1155/2011/198606

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