Absence of $L^p$ spectrum for asymptotically flat diffusions in region with cavities

Agnid Banerjee, Nicola Garofalo

We study solutions to variable-coefficient elliptic equations of the form $-\D(A(x) \nabla u) = κu$, $\kappa >0$, in an exterior domain $\Om\subset \Rn$, where $A(x)$ is uniformly ellipt…