| Abstract: |
| I will present pointwise gradient potential estimates for a class of nonlinear nonlocal equations related to quadratic nonlocal energy functionals. These pointwise estimates imply that the first-order regularity properties of such general nonlinear nonlocal equations coincide with the sharp ones of the fractional Laplacian. The talk is based on joint work with Lars Diening (Bielefeld), Kyeongbae Kim (Seoul) and Ho-Sik Lee (Bielefeld). |
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