3 problems

Let $u$ be a nontrivial solution of a uniformly elliptic partial differential equation with bounded coefficients in the whole space or in an exterior domain. The coefficients are a…

Fractional Landis conjecture. There is a constant $C$ such that, for the relevant radii $r$, one has

For $s=1$, let $q$ be a potential and let $u$ be a solution with $|q(x)|\leq 1$ and $|u(x)|\leq C_0$. Kondratev–Landis conjecture. If … then $u\equiv 0$. The conjecture is a Landis…