Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space

L. I. Ignat, J. D. Rossi, A. San Antolin

We find lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form $ T(u) = - \int_{\rr^d} K(x,y) (u(y)-u(x)) \, dy$. Here we consider a kernel $K…