| Contents |
| The asymptotic behavior of solutions to fractional elliptic equations with Hardy type potentials is discussed. By an Almgren type monotonicity formula, separation of variables, and blow-up arguments, we describe the exact behavior near the singularity of solutions to linear and semilinear fractional elliptic equations with a homogeneous singular potential related to the fractional Hardy inequality. As a consequence, we obtain some unique continuation properties for fractional elliptic equations. |
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