Nontrivial nonnegative weak solutions to fractional $p$-Laplace inequalities

Liguang Liu

For the nonlocal quasilinear fractional $p$-Laplace operator $(-\Delta {)}_p^s$ with $s\in (0,1)$ and $p\in (1,\infty )$, we investigate the nonexistence and existence of nontrivial nonnegat…