Fractional elliptic equations, Caccioppoli estimates and regularity

L. A. Caffarelli, P. R. Stinga

Let $L=-{\mathrm{div}}_x(A(x){\nabla }_x)$ be a uniformly elliptic operator in divergence form in a bounded domain $\Omega$. We consider the fractional nonlocal equations $$\begin{case…