Weak Harnack inequality and Cartan property for nonlocal $W^{s,1}$-minimizers

Panu Lahti, Yuxin Li, Khanh Nguyen

We establish a weak Harnack inequality for nonlocal $W^{s,1}$-subminimizers in a complete, connected, doubling metric measure space where $0<s<1$. As a corollary, we prove that $W^…