For fully nonlinear nonlocal operators of order 2s satisfying maximum and minimum principles, a viscosity solution decaying like o(|x|^{-(N+2s)}) is identically zero.
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The Landis Conjecture For Nonlocal Elliptic Operators: Polynomial Decay
For fully nonlinear nonlocal operators of order 2s satisfying maximum and minimum principles, a viscosity solution decaying like o(|x|^{-(N+2s)}) is identically zero.