| Abstract: |
| In this paper, we consider the symmetry results of positive solutions for some nonlocal problems, such as the fractional equations, the mixed integro-differential equations and so on.
We prove our results through the method of moving planes, using the ABP estimates for the fractional Laplacian to obtain the Maximum Principle for small domain. We use a truncation technique to overcome the difficulty caused by the nonlocal character of the differential operator. |
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