On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/198606 |
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| Summary: | 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 Λω−p+(p−1)α(E)=0. |
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| ISSN: | 1687-9643 1687-9651 |