Setenay Akduman

Standing Waves of the NLS Equation on Locally Finite Weighted Graphs: A Linking Geometry Approach

We investigate wave solutions of the nonlinear Schrödinger equation (H-λ)u=f(x,u) on a locally finite weighted graph, where H is the associated Schrödinger operator. The central hypothesis is a tail summability condition 1/V∈l_m^1 (V) on the effective potential V, which, together with canonical compactifiability of the...