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Gradient Estimates in Fractional Dirichlet Problems |
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| Authors: | Fall Mouhamed Moustapha Jarohs Sven |
| Institution: | 1.African Institute for Mathematical Sciences (AIMS) Senegal, KM2 Route de Joal, Mbour, BP, 1418, Senegal ;2.Institut für Mathematik, Goethe-Universit?t Frankfurt, Robert-Mayer-Str. 10 D-60629, Frankfurt am Main, Germany ; |
| Abstract: | We obtain some fine gradient estimates near the boundary for solutions to fractional elliptic problems subject to exterior Dirichlet boundary conditions. Our results provide, in particular, the sign of the normal derivative of such solutions near the boundary of the underlying domain. |
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